Non convex optimization problems on weakly compact subsets of Banach spaces


  • Ş. Cobzaş "Tiberiu Popoviciu", Institute of Numerical Analysis, Romanian Academy


Not available.


Download data is not yet available.


Asplund, Edgar, Farthest points in reflexive locally uniformly rotund Banach spaces. Israel J. Math. 4 1966 213-216, MR0206662,

Baranger, J., Existence de solutions pour des problèmes d'optimisation non convexe. (French) J. Math. Pures Appl. (9) 52 (1973), 377-405 (1974), MR0380360.

Baranger, J., Temam, R., Nonconvex optimization problems depending on a parameter. SIAM J. Control 13 (1975), 146-152, MR0430901.

Barbu, V., Precupanu, Th., Convexity and optimization in Banach spaces. Revised edition. Translated from the Romanian. Editura Academiei, Bucharest; Sijthoff & Noordhoff International Publishers, Alphen aan den Rijn, 1978. xi+316 pp. ISBN: 90-286-0018-3, MR0513634.

Bidaut, M. F. Existence theorems for usual and approximate solutions of optimal control problems. Existence theory in the calculus of variations and optimal control. J. Optimization Theory Appl. 15 (1975), 393-411, MR0415449.

Brézis, Haïm, Strauss, Walter A., Semi-linear second-order elliptic equations in L1. J. Math. Soc. Japan 25 (1973), 565-590, MR0336050.

Cobzaş, Ş., Antiproximinal sets in some Banach spaces. Papers presented at the Fifth Balkan Mathematical Congress (Belgrade, 1974). Math. Balkanica 4 (1974), 79-82, MR0377381.

Day, Mahlon M., Strict convexity and smoothness of normed spaces. Trans. Amer. Math. Soc. 78, (1955). 516-528, MR0067351,

Edelstein, Michael, Farthest points of sets in uniformly convex Banach spaces. Israel J. Math. 4 1966 171-176, MR0203426,

Edelstein, M., On nearest points of sets in uniformly convex Banach spaces. J. London Math. Soc. 43 1968 375-377, MR0226364,

Ekeland, Ivar, Lebourg, Gérard, Generic Fréchet-differentiability and perturbed optimization problems in Banach spaces. Trans. Amer. Math. Soc. 224 (1976), no. 2, 193-216 (1977), MR0431253,

Lau, Ka Sing Farthest points in weakly compact sets. Israel J. Math. 22 (1975), no. 2, 168-174, MR0394126,

Lau, Ka Sing, Almost Chebyshev subsets in reflexive Banach spaces. Indiana Univ. Math. J. 27 (1978), no. 5, 791-795, MR0510772,

Lions, J.-L., Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles. (French) Avant propos de P. Lelong Dunod, Paris; Gauthier-Villars, Paris 1968 xiii+426 pp., MR0244606.

Stečkin, S. B., Approximation properties of sets in normed linear spaces. (Russian) Rev. Math. Pures Appl. 8 1963 5-18, MR0155168.

Troyanski, S. L., On locally uniformly convex and differentiable norms in certain non-separable Banach spaces. Studia Math. 37 (1970/71), 173-180, MR0306873.




How to Cite

Cobzaş, Ş. (1980). Non convex optimization problems on weakly compact subsets of Banach spaces. Anal. Numér. Théor. Approx., 9(1), 19–25. Retrieved from