Mond-Weir Duality Theorems of Nonsmooth Generalized Convexity Programming

This paper establishes generalized Mond Weir duality of nonsmooth programming on the basis of Mond Weir duality of smooth programming.And then this generalized Mond Weir duality is duscussed under four conditions generalized convex functions of generalized η strict pseudoconvexity function?generalized η pseudoconvexity function?generalized η quasiconvexity function and generalized η weak quasiconvexity function,some duality theorems are obtained,which include the weak duality theorem?the direct duality theorem and the strict converse duality theorem.