On minimax programming problems involving right upper-Dini-derivative functions

摘要

In this paper, we derive necessary and sufficient optimality conditions for a general minimax programming problem involving some classes of generalized convexities with the tool-right upper-Dini-derivative. Moreover, using the concept of optimality conditions, Mond-Weir type duality theory has been developed for such a minimax programming problem. MSC:26A51, 49J35, 90C32.