Generalized convex functions and generalized di¤erentials
نویسندگان
چکیده
We study some classes of generalized convex functions, using a generalized di¤erential approach. By this we mean a set-valued mapping which stands either for a derivative, a subdi¤erential or a pseudodi¤erential in the sense of Jeyakumar and Luc. We establish some links between the corresponding classes of pseudoconvex, quasiconvex and another class of generalized convex functions we introduced. We devise some optimality conditions for constrained optimization problems. In particular, we get Lagrange-KuhnTucker multipliers for mathematical programming problems. Key words: colinvex, generalized di¤erential, mathematical programming, optimality conditions, protoconvex function, pseudoconvex function, quasiconvex function. Mathematics Subject Classi cation: 26B25, 46G05, 49K27, 90C26, 90C32
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