Ivan Singer - publications


Monographs

Articles

  1. Teoreme de medii pentru sisteme de functii (Mean-value theorems for systems of functions). Bull. Sti. Acad. R.P.R., Sect. Sti. Mat. Fiz. 5(1953), 251-271
  2. Despre cea mai buna aproximare a functiilor continue prin combinatii liniare de functii date (On best approximation of continuous functions by linear combinations of given functions). Bul. Sti. Acad. R.P.R., Sect. Sti. Mat. Fiz. 6(1954), 465-475
  3. Contributii la teoria KB-linealelor (Contributions to the theory of KB-lineals). Studii Cercet. Mat. 6(1955), 79-134
  4. Asupra reprezentarii concrete a spatiilor Banach (On the concrete representation of Banach spaces). Bul. Sti. Acad. R.P.R., Sect. Sti. Mat. Fiz. 8(1956), 31-37
  5. Sur l'extension des fonctionnelles linéaires. Rev. Math. Pures Appl. 2(1956), 99-106. Russian translation: O prodolzhenii lineinyh funkcionalov, Z. Chistoi Prikl. Mat. 2(1956), 115-123
  6. Proprietati ale suprafetei sferei unitate si aplicatii la rezolvarea problemei unicitatii polinomului de cea mai buna aproximatie in spatii Banach oarecare (Properties of the surface of the unit ball and applications to the solution of the problem of uniqueness of the polynomial of best approximation in arbitrary Banach spaces). Studii Cercet. Mat. 7(1956), 95-145
  7. Asupra aproximarii elementelor in spatii topologice (On the approximation of elements in topological spaces). Bul. Sti. Acad. R.P.R., Sect. Sti. Mat. Fiz. 8(1956), 687-694
  8. Caractérisation des éléments de meilleure approximation dans un espace de Banach quelconque. Acta Sci. Math. (Szeged) 17(1956), 181-189. Abstract in: Lucrarile celui de al IV-lea congres al matematicienilor romani (Proc. IV-th Congress of Romanian mathematicians), Editura Academiei R.P.R., Bucuresti (1960), 63-64
  9. Asupra L-problemei teoriei momentelor in spatii Banach (On the L-problem of the theory of moments in Banach spaces). Bul. Sti. Acad. R.P.R., Sect. Sti. Mat. Fiz. 9(1957), 19-28
  10. Unghiuri abstracte si functii trigonometrice in spatii Banach (Abstract angles and trigonometric functions in Banach spaces). Bul. Sti. Acad. R.P.R., Sect. Sti. Mat. Fiz. 9(1957), 29-42
  11. Asupra unicitatii elementului de cea mai buna aproximatie in spatii Banach oarecare (On the uniqueness of the element of best approximation in arbitrary Banach spaces). Studii Cercet. Mat. 8(1957), 234-244
  12. Lineinye funkcionaly na prostranstve nepreryvnyh otobrazhenii bikompaktnogo hausdorfogo prostranstva v prostranstvo Banaha (The linear functionals on the space of continuous mappings of a bicompact Hausdorff space into a Banach space [Russian]). Rev. Math. Pures Appl. 2(1957), 201-215
  13. Sur la meilleure approximation des fonctions abstraites continues à valeurs dans un espace de Banach. Rev. Math. Pures Appl. 2(1957), 245-262
  14. Un dual du théorème de Hahn-Banach. Comptes Rendus Acad. Sci. (Paris) 247(1958), 408-411
  15. Quelques applications d'un dual du théorème de Hahn-Banach. Comptes Rendus Acad. Sci. (Paris) 247(1958), 846-849
  16. Les duals de certains espaces de Banach de champs de vecteurs. Bull. Sci. Math. 82(1958), 29-40
  17. Sur quelques théorèmes de W. W. Rogosinski et S. I. Zoukhovitzky. Rev. Math. Pures Appl. 3(1958), 117-130
  18. Elementary proof of a theorem of S. R. Foguel on biorthogonal systems in Banach spaces. Rev. Math. Pures Appl. 3(1958), 305-307
  19. A short proof of a theorem of E. Helly. Rev. Math. Pures Appl. 3(1958), 437-438
  20. Les points extrémaux de la boule unité du dual d'un produit tensoriel normé inductif d'espaces de Banach. Bull. Sci. Math. 82(1958), 73-80
  21. Sur un dual du théorème de Hahn-Banach et sur un théorème de Banach. Rendiconti Accad. Naz. Lincei 25(1958), 443-446
  22. Problema omeomorfismului spatiilor Banach separabile infinitdimensionale (The problem of homeomorphism of separable infinite dimensional Banach spaces). An. Rom.-Sov. 4(1958), 5-24
  23. On Banach spaces reflexive with respect to a linear subspace of their conjugate space. Bull. Math. Soc. Sci. Math. Phys. R.P.R. 2(1958), 449-462.
  24. Remarque sur un théorème d'approximation de H. Yamabe. Rendiconti Accad. Naz. Lincei 26(1959), 33-34
  25. La meilleure approximation interpolative dans les espaces de Banach. Rev. Math. Pures Appl. 4(1959), 95-113
  26. On a theorem of J. D. Weston. J. London Math. Soc. 34(1959), 320-324
  27. Sur un théorème de Ch. J. de la Vallée-Poussin. Rev. Math. Pures Appl. 4(1959), 317-324
  28. Sur les applications linéaires intégrales des espaces de fonctions continues. I. Rev. Math. Pures Appl. 4(1959), 391-401
  29. Sur les applications linéaires majorées des espaces de fonctions continues. Rendiconti Accad. Naz. Lincei 27(1959), 35-41
  30. Les duals de certains espaces de Banach de champs de vecteurs. II. Bull. Sci. Math. 83(1959), 73-96
  31. Sur les applications linéaires intégrales des espaces de fonctions continues à valeurs vectorielles. Acta Math. Acad. Sci. Hung. 11(1960), 3-13
  32. Sur une classe d'applications linéaires continues des espaces (L^p)_F (1<=p<\infty). Ann. Éc. Norm. Sup. 77(1960), 235-256
  33. On a theorem of V. Pták concerning best approximation of continuous functions in the metric \int_{a}^{b} |x(t)| dt. Czechoslovak Math. J. 10(85) (1960), 425-431
  34. On best approximation of continuous functions. Math. Ann. 140(1960), 165-168
  35. Sur l'approximation uniforme des opérateurs linéaires compacts par des opérateurs non linéaires de rang fini. Arch. Math. 11(1960), 289-293
  36. On the set of the best approximations of an element in a normed linear space. Rev. Math. Pures Appl. 5(1960), 383-402
  37. Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Rev. Math. Pures Appl. 5(1960), 729-752 (with C. Foias)
  38. Sur la représentation intégrale des applications linéaires continues des espaces (L^p)_F (1<=p&ly;\infty). Rendiconti Accad. Naz. Lincei 29(1960), 28-32
  39. Sur les espaces de Banach à base absolue, canoniquement équivalents à un dual d'espace de Banach. Comptes Rendus Acad. Sci. (Paris) 251(1960), 620-621
  40. Sur les espaces de Banach à base absolue, canoniquement équivalents à un dual d'espace de Banach. II. Comptes Rendus Acad. Sci. (Paris) 251(1960), 2456-2459
  41. Quelques propriétés des espaces de Banach à base absolue. In: Deuxième Congrès Mathématique Hongrois, Akadémiai Kiadó, Budapest (1961), t. II, sect. III b, 84-86
  42. O banahovyh prostranstvah s simmetrichnym bazisom (On Banach spaces with a symmetric basis [Russian]). Rev. Math. Pures Appl. 6(1961), 159-166
  43. Sur un problème d'isomorphie de S. Banach. Rendiconti Accad. Naz. Lincei 30(1961), 343-346
  44. Some remarks on best approximation in normed linear spaces. I. Rev. Math. Pures Appl. 6(1961), 357-362
  45. Weak* bases in conjugate Banach spaces. Studia Math. 21(1961), 75-81
  46. On best approximation of continuous functions. II. Rev. Math. Pures Appl. 6(1961), 507-511
  47. Some remarks on strongly linearly independent sequences and bases in Banach spaces. Rev. Math. Pures Appl. 6(1991), 589-594 (with C. Foias)
  48. On Banach spaces reflexive with respect to a linear subspace of their conjugate space. II. Math. Ann. 145(1962), 64-76
  49. Ob odnoi teoreme I. M. Gelfanda (On a theorem of I. M. Gelfand [Russian]). Uspehi Mat. Nauk 17(1962), 1, 169-176
  50. Basic sequences and reflexivity of Banach spaces. In: General topology and its relations to modern analysis and algebra (J. Novák, ed.), Academic Press, New York and Publ. House Chechoslovak Acad. Sci., Prague (1962), 331-332
  51. Basic sequences and reflexivity of Banach spaces. Studia Math. 21(1962), 351-369
  52. On Cesàro bases in Banach spaces. Rev. Math. Pures Appl. 7(1962), 135-142
  53. Some characterizations of symmetric bases in Banach spaces. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. Phys. 10(1962), 185-192
  54. Choquet spaces and best approximation. Math. Ann. 148(1962), 330-340
  55. On Banach spaces reflexive with respect to a linear subspace of their conjugate space. III. Rev. Math. Pures Appl. 8(1963), 139-150
  56. On bases in quasi-reflexive Banach spaces. Rev. Math. Pures Appl. 8(1963), 309-311
  57. Weak* bases in conjugate Banach spaces. II. Rev. Math. Pures Appl. 8(1963), 575-584
  58. Baze in spatii Banach. I (Bases in Banach spaces. I). Studii Cercet. Mat. 14(1963), 539-585
  59. Bases and quasi-reflexivity of Banach spaces. Math. Ann. 153(1964), 199-209
  60. Weak compactness, pseudo-reflexivity and quasi-reflexivity. Math. Ann. 154(1964), 77-87
  61. Completeness and aw*-topologies. Arch. Math. 15(1964), 42-45
  62. Some remarks on approximative compactness. Rev. Roum. Math. Pures Appl. 9(1964), 167-177
  63. Baze in spatii Banach. II (Bases in Banach spaces. II). Studii Cercet. Mat. 15(1964), 157-208
  64. Baze in spatii Banach. III (Bases in Banach spaces. III). Studii Cercet. Mat. 15(1964), 675-725
  65. On non-equivalent bases and conditional bases in Banach spaces. Studia Math. 25(1964), 5-25 (with A. Pelczynski)
  66. A proof of the Dvoretzky-Rogers theorem. Israel J. Math. 2(1964), 249-250
  67. Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions. Math. Zeitschr. 87(1965), 434-450 (with C. Foias)
  68. On the extension of continuous linear functionals and best approximation in normed linear spaces. Math. Ann. 159(1965), 344-355
  69. On the basis problem in topological linear spaces. Rev. Roum. Math. Pures Appl. 10(1965), 453-457
  70. A remark on reflexivity and summability. Studia Math. 26(1965), 113-114
  71. On bases in C([0,1]) and L^1([0,1]). Rev. Roum. Math. Pures Appl. 10(1965), 931-960 (with C. Foias).
  72. Some remarks on best approximation in normed linear spaces. II. Rev. Roum. Math. Pures Appl. 11(1966), 799-807
  73. Extremal points, Choquet boundary and best approximation. Rev. Roum. Math. Pures Appl. 11(1966), 1175-1185
  74. Some open problems on best approximation in normed linear spaces. Séminaire Choquet, 6(1966/67), 12.01-12.08
  75. On a theorem of N. K. Bari and I. M. Gelfand. Arch. Math. 19(1968), 508-509
  76. On metric projections onto linear subspaces of normed linear spaces. In: Proc. Confer. on "Projections and related topics" (A. Sobczyk, ed.), Clemson University, Clemson (1968), 14 pp
  77. On the constants of basic sequences in Banach spaces. Studia Math. 31(1968), 233-242
  78. Complemented subspaces and \Lambda systems in Banach spaces. Israel J. Math. 6(1968), 303-309 (with W. J. Davis and D. W. Dean)
  79. Remark on a paper of Y. Ikebe. Proc. Amer. Math. Soc. 21(1969), 24-26
  80. On the cones associated with biorthogonal systems and bases in Banach spaces. Canadian J. Math. 21(1969), 1206-1217 (with C. W. McArthur and M. Levin)
  81. On a problem of T. J. Rivlin in approximation theory. J. Approx. Theory 2(1969), 342-354 (with F. Deutsch and P. Morris)
  82. Some remarks and problems on bases in Banach spaces. In: Abstract Spaces and Approximation (P. L. Butzer and B. Sz.-Nagy, eds.), ISNM 10, Birkhäuser-Verlag, Basel-Stuttgart (1969), 130-139
  83. Some remarks on domination of sequences. Math. Ann. 184(1970), 113-132
  84. On k-shrinking and k-boundedly complete bases in Banach spaces. Pacific J. Math. 32(1970), 323-331 (with D. W. Dean and B.-L. Lin)
  85. Multipliers and unconditional convergence of biorthogonal expansions. Pacific J. Math. 37(1971), 35-40 (with W. J. Davis and D. W. Dean)
  86. On shrinking basic sequences in Banach spaces. Studia Math. 40(1971), 23-33 (with D. W. Dean and L. Sternbach)
  87. On conditional bases of l^2. Prace Mat. 15(1971), 135-139 (with B.-L. Lin)
  88. On biorthogonal systems and total sequences of functionals. Math. Ann. 193(1971), 183-188
  89. On set-valued metric projections. In: Linear Operators and Approximation (P. L. Butzer, J.-P. Kahane and B. Sz.-Nagy, eds.), ISNM 20, Birkhäuser-Verlag, Basel-Stuttgart (1972), 217-233
  90. On best approximation in normed linear spaces by elements of subspaces of finite codimension. Rev. Roum. Math. Pures Appl. 17(1972), 1245-1256
  91. Boundedly complete M-bases and complemented subspaces in Banach spaces. Trans. Amer. Math. Soc. 175(1973), 187-194 (with W. J. Davis)
  92. On minimal sequences of type l_+ and bounded biorthogonal systems in Banach spaces. Czechoslovak Math. J. 23(98) (1973), 11-14
  93. On normed linear spaces which are proximinal in every superspace. J. Approx. Theory 7(1973), 399-402
  94. Best approximation in normed linear spaces. In: Constructive Aspects of Functional Analysis (G. Geymonat, ed.), Edizioni Cremonese, Roma (1973), 685-793
  95. On biorthogonal systems and total sequences of functionals. II. Math. Ann. 201(1973), 1-8
  96. On set-valued metric projections, Hahn-Banach extension maps and spherical image maps. Duke Math. J. 40(1973), 355-370 (with F. Deutsch and W. Pollul)
  97. On pseudo-complemented subspaces of Banach spaces. J. Funct. Anal. 13(1973), 223-232
  98. On separable \pi_\lambda and dual \pi_\lambda spaces. Rev. Roum. Math. Pures Appl. 18(1973), 1109-1121
  99. On a problem of moments of S. Rolewicz. Studia Math. 48(1973), 95-98
  100. Generalizations of methods of best approximation to convex optimization in locally convex spaces. I: Extension of continuous linear functionals and characterizations of solutions of continuous convex programs. Rev. Roum. Math. Pures Appl. 19(1974), 65-77
  101. On the extension of basic sequences to bases. Bull. Amer. Math. Soc. 80(1974), 771-772
  102. On some duality theorems for bases, finite dimensional decompositions and \pi_\lambda systems. Math. Ann. 211(1974), 337-343
  103. Some characterizations of reflexivity. Proc. Amer. Math. Soc. 52(1975), 166-168
  104. On the problem of non-smoothness of non-reflexive second conjugate spaces. Bull. Austral. Math. Soc. 12(1975), 407-416
  105. Geometric properties of the norm and basic sequences in Banach spaces. Bull. Austral. Math. Soc. 13(1975), 325-335.
  106. On Kadec-Klee norms on Banach spaces. Studia Math. 54(1976), 205-211 (with D. van Dulst)
  107. Enflo-Rosenthal basis sets in Banach spaces. Serdica Bulg. Math. Publ. 2(1976), 247-251
  108. Some extensions of a dual of the Hahn-Banach theorem, with applications to separation and Helly type theorems. Bull. Austral. Math. Soc. 15(1976), 277-291
  109. On convex vectorial optimization in linear spaces. J. Optim. Theory Appl. 21(1977), 175-188. Errata corrige: J. Optim. Theory Appl. 23(1977), 473-476 (with A. Bacopoulos)
  110. On the distance of non-reflexive spaces to the collection of all conjugate spaces. Bull. Austral. Math. Soc. 18(1978), 461-464
  111. On best approximation in vector-valued norms. In: Fourier Analysis and Approximation Theory (G. Alexits and P. Turán, eds.), Coll. Math. Soc. J. Bolyai 19, North-Holland, Amsterdam (1978), 89-100 (with A. Bacopoulos and G. Godini)
  112. Infima of sets in the plane and applications to vectorial optimization. Rev. Roum. Math. Pures Appl. 23(1978), 343-360 (with A. Bacopoulos and G. Godini)
  113. Some classes of non-linear operators generalizing the metric projections onto Chebyshev subspaces. In: Theory of Nonlinear Operators. Constructive Aspects (R. Kluge, ed.), Abhandl. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik, 6N, Akademie-Verlag, Berlin (1978), 245-257
  114. Some new applications of the Fenchel-Rockafellar duality theorem: Lagrange multiplier theorems and hyperplane theorems for convex optimization and best approximation. Nonlinear Anal. Theory, Meth. Appl. 3(1979), 239-248
  115. On the Pontryagin maximum principle for constant-time linear control systems in Banach spaces. J. Optim. Theory Appl. 27(1979), 315-321
  116. Deviation and farthest points in normed linear spaces. Rev. Roum. Math. Pures Appl. 24(1979), 373-381 (with C. Franchetti)
  117. On Banach spaces in which every M-basis is a generalized summation basis. In: Approximation Theory (Z. Ciesielski, ed.). Banach Center Publ. 4(1979), 237-240
  118. Generalizations of methods of best approximation to convex optimization in locally convex spaces. II: Hyperplane theorems. J. Math. Anal. Appl. 69(1979), 571-584
  119. Best coapproximation in normed linear spaces. Monatsh. Math. 88(1979), 27-44 (with P.L. Papini)
  120. Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. I: Hyperplane theorems. Appl. Math. Optim. 5(1979), 349-362
  121. A Fenchel-Rockafellar type duality theorem for maximization. Bull. Austral. Math. Soc. 20(1979), 193-198
  122. Best approximation by elements of caverns in normed linear spaces. Boll. Un. Mat. Ital. (5) 17-B(1980), 33-43 (with C. Franchetti)
  123. Extension with larger norm and separation with double support in normed linear spaces. Bull. Austral. Math. Soc. 21(1980), 93-105
  124. On infima of sets in the plane and best approximation, simultaneous and vectorial, in a linear space with two norms. In: Special Topics of Applied Mathematics (J. Frehse, D. Pallaschke and U. Trottenberg, eds.), North-Holland Publ. Co., Amsterdam (1980), 219-239 (with A. Bacopoulos and G. Godini)
  125. Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. II: Quasi-Lagrangian duality theorems. Result. Math. 3(1980), 235-248
  126. Minimization of continuous convex functionals on complements of convex subsets of locally convex spaces. Math. Operationsforsch. Stat. Ser. Optim. 11(1980), 221-234
  127. Duality theorems for linear systems and convex systems. J. Math. Anal. Appl. 76(1980), 339-368
  128. Duality theorems for constrained convex optimization. Control and Cybernetics 9(1980), 37-45
  129. A characterization of constant-time linear control systems satisfying the Pontryagin maximum principle. J. Optim. Theory Appl. 32(1980), 379-384
  130. The norm of a linear functional with respect to a non-negative convex functional vanishing at the origin. J. Math. Anal. Appl. 78(1980), 367-377
  131. Weak Chebyshev subspaces and alternation. Pacific J. Math. 89(1980), 9-31 (with F. Deutsch and G. Nürnberger)
  132. Uniqueness of best approximations in spaces of continuous functions. In: Approximation theory. III (E. W. Cheney, ed.), Academic Press, New York (1980), 687-692 (with G. Nürnberger).
  133. Optimization and best approximation. In: Nonlinear Analysis, Theory and Applications (R. Kluge, ed.), Abhandl. Akad. Wiss. DDR, Abt. Math. Naturwiss.-Technik, 2N, Akademie-Verlag, Berlin (1981), 273-285
  134. Duality theorems for perturbed convex optimization. J. Math. Anal. Appl. 81(1981), 437-452
  135. On the perturbation and Lagrangian duality theories of Rockfellar and Kurcyusz. In: Vth Sympos. on Oper. Res. Köln, 1980 (R.E. Burkard and T.H. Ellinger, eds.), Methods of Oper. Research 40, A. Hain Meisenheim GmbH, Königstein/Ts. (1981), 153-156
  136. Pseudo-conjugate functionals and pseudo-duality. In: Mathematical Methods in Operations Research (Invited lectures presented at the Internat. Confer. held in Sofia, November 1980), Publ. House Bulg. Acad. Sci., Sofia (1981), 115-134
  137. Optimization by level set methods. III: Characterizations of solutions in the presence of duality. Numer. Funct. Anal. Optim. 4(2) (1981-1982), 151-170
  138. Optimization by level set methods. IV: Generalizations and complements. Numer. Funct. Anal. Optim. 4(3) (1981-1982), 279-310
  139. Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. J. Math. Anal. Appl. 90(1982), 171-184 (with G. Nürnberger)
  140. Optimization by level set methods. I. Duality formulae. In: Optimization, Theory and Algorithms (J.-B. Hiriart-Urruty, W. Oettli and J. Stoer, eds.), Lecture Notes Pure Appl. Math. 86, Marcel Dekker, New York (1983), 13-43
  141. Abstract Pontryagin maximum principles for linear systems. Lin. Multilin. Alg. 13(1983), 203-219
  142. The lower semi-continuous quasi-convex hull as a normalized second conjugate. Nonlinear Anal. Theory, Meth. Appl. 7(1983), 1115-1121
  143. Surrogate conjugate functionals and surrogate convexity. Applicable Anal. 16(1983), 291-327
  144. Optimization by level set methods. II: Further duality formulae in the case of essential constraints. In: Functional Analysis, Holomorphy and Approximation Theory. II (G.I. Zapata, ed.), Elsevier (North-Holland), Amsterdam-New York-Oxford (1984), 383-411
  145. Surrogate dual problems and surrogate Lagrangians. J. Math. Anal. Appl. 98(1984), 31-71
  146. Optimization by level set methods. V: Duality theorems for perturbed optimization problems. Math. Operationsforsch. Stat. Ser. Optim. 15(1984), 3-36
  147. Conjugate functionals and level sets. Nonlinear Anal. Theory, Meth. Appl. 8(1984), 313-320
  148. Best approximation and optimization. J. Approx. Theory 40(1984), 274-284
  149. A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. J. Math. Anal. Appl. 104(1984), 351-389
  150. Generalized convexity, functional hulls and applications to conjugate duality in optimization. In: Selected Topics in Operations Research and Mathematical Economics (G. Hammer and D. Pallaschke, eds.), Lecture Notes Econ. Math. Systems 226, Springer-Verlag, Berlin - Heidelberg - New York - Tokyo (1984), 49-79
  151. Conjugation operators. In: Selected Topics in Operations Research and Mathematical Economics (G. Hammer and D. Pallaschke, eds.), Lecture Notes Econ. Math. Systems 226, Springer-Verlag, Berlin - Heidelberg - New York - Tokyo (1984), 80-97
  152. Extensions of functions of 0-1 variables and applications to combinatorial optimization. Numer. Funct. Anal. Optim. 7(1984-85), 23-62
  153. Some relations between dualities, polarities, coupling functionals and conjugations. J. Math. Anal. Appl. 115(1986), 1-22
  154. A general theory of dual optimization problems. J. Math. Anal. Appl. 116(1986), 77-130
  155. Lexicographical separation in R^n. Lin. Alg. Appl. 90(1987), 147-163 (with J.-E. Martínez-Legaz)
  156. Surrogate duality for vector optimization. Numer. Funct. Anal. Optim. 9(1987), 547-568 (with J.-E. Martínez-Legaz)
  157. Generalizations of convex supremization duality. In: Nonlinear and Convex Analysis (B.-L. Lin and S. Simons, eds.). Lecture Notes Pure Appl. Math. 107. Marcel Dekker, New York (1987), 253-270
  158. Optimization by level set methods. VI: Generalizations of surrogate type reverse convex duality. Optimization 18(1987), 485-499
  159. On duality and stability of parametrized optimization problems and related topics. In: Parametric Optimization and Related Topics (J. Guddat, H.Th. Jongen, B. Kummer and F. Nozicka, eds.), Akademie-Verlag, Berlin (1987), 355-375
  160. Infimal generators and dualities between complete lattices. Ann. Mat. Pura Appl. (4)148(1987), 289-352
  161. Abstract subdifferentials and some characterizations of optimal solutions. J. Optim. Theory Appl. 57(1988), 361-368
  162. The structure of hemispaces in R^n. Lin. Alg. Appl. 110(1988), 117-179 (with J.-E. Martínez-Legaz)
  163. A general theory of dual optimization problems. II: On the perturbational dual problem corresponding to an unperturbational dual problem. Zeitschr. Oper. Res. 33(1989), 241-258
  164. Some relations between combinatorial min-max equalities and Lagrangian duality equalities, via coupling functions. I: Cardinality results. Rev. Roum. Math. Pures Appl. 34(1989), 455-491
  165. Some relations between combinatorial min-max equalities and Lagrangian duality equalities, via coupling functions. II: Further results. Rev. Roum. Math. Pures Appl. 34(1989), 661-692
  166. Some general Lagrangian duality theorems. J. Math. Anal. Appl. 144(1989), 26-51
  167. Lexicographical order, lexicographical index and linear operators. Lin. Alg. Appl. 128(1990), 65-95 (with J.-E. Martínez-Legaz)
  168. Dualities between complete lattices. Optimization 21(1990), 481-508 (with J.-E. Martínez-Legaz)
  169. A characterization of Lagrangian dual problems. Note Mat. (G. Köthe Festschrift; V.B. Moscatelli, ed.), 10(1990), Suppl. 2, 389-394 (with J.-E. Martínez-Legaz)
  170. Compatible preorders and linear operators on R^n. Lin. Alg. Appl. 153(1991), 53-66 (with J.-E. Martínez-Legaz). Erratum: Lin. Alg. Appl. 220(1995), 5-6
  171. Some further relations between unperturbational and perturbational dual optimization problems. Optimization 22(1991), 317-339
  172. \vee-dualities and \perp-dualities. Optimization 22(1991), 483-511 (with J.-E. Martínez-Legaz). Errata Corrige: Optimization 24(1992), 13
  173. Multi-order convexity. In: Applied Geometry and Discrete Mathematics (V. Klee Festschrift; P. Gritzmann and B. Sturmfels, eds.), DIMACS Ser. Discrete Math. Theoretical Computer Sci. 4, Amer. Math. Soc., Princeton (1991), 471-488 (with J.-E. Martínez-Legaz)
  174. Some characterization of \varphi-Lagrangian dual problems. Optimization 22(1991), 835-843 (with J.-E. Martínez-Legaz)
  175. The distance to a polyhedron. Lin. Alg. Appl. 169(1992), 111-129 (with C. Bergthaller)
  176. Some characterizations of surrogate dual problems. Optimization 24(1992), 1-11 (with J.-E. Martínez-Legaz)
  177. Some further duality theorems for optimization problems with reverse convex constraint sets. J. Math. Anal. Appl. 171(1992), 205-219
  178. Some further characterizations of unperturbational dual problems. In: Parametric optimization and related topics. III (J. Guddat, H. Th. Jongen, B. Kummer and F. Nozicka, eds.), Peter Lang Publ. House, Frankfurt/Main (1993), 407-436 (with J.-E. Martínez-Legaz)
  179. On single-valuedness of convex set-valued maps. Set-Valued Anal. 1(1993), 97-103 (with F. Deutsch)
  180. Some characterizations of perturbational dual problems. Optimization 29(1994), 97-130 (with J.-E. Martínez-Legaz)
  181. *-dualities. Optimization 30(1994), 295-315 (with J.-E. Martínez-Legaz)
  182. Dualities associated to binary operations on \overline R. J. Convex Anal. 2(1995), 185-209 (with J.-E. Martínez-Legaz)
  183. Subdifferentials with respect to dualities. Zeitschr. Oper. Res. ZOR - Math. Methods Oper. Res. 42(1995), 109-125 (with J.-E. Martínez-Legaz)
  184. On dualities between function spaces. ZOR-Math. Methods Oper. Res. 43(1996), 35-44
  185. An extension of d.c. duality theory, with an Appendix on *-subdifferentials. Optimization 42(1997), 9-37 (with J.-E. Martínez-Legaz)
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