Optimality Conditions for Minimax Semi-Infinite Fractional Programming Involving Generalized Convexity

摘要

The purpose of this paper is to consider a class of nonsmooth minimax semi-infinite fractional programming problem. Based on the concept of H- tangent derivative, a new generalization of convexity, namely generalized uniform (B_H, ρ) - invexity, is defined for this problem. For such semi-infinite programming problems, several sufficient optimality conditions are established and proved by utilizing the above defined new classes of functions. The results extend and improve the corresponding results in the literature.