Journal of Applied Analysis
Vol. 2, No. 2, pp. 183-201 (1996)
Optimality conditions for problems with set-valued objectives
B. El Abdouni and L. Thibault
Abstract: Optimality conditions are established for mathematical programming problems where objectives and constraints are given by set-valued mappings. These conditions are stated with Lagrange multipliers associated with the coderivatives of the set-valued data.
Keywords: Optimality conditions, set-valued mappings, contingent derivatives, coderivatives,metric regularity, normally stable set-valued mappings
Classification (MSC2000): 49J52, 46B20, 58C20
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