Duality for multi-objective semi-infinite programming with K-(Fb,p)- convexity

Hong Yang

School of Mathematics and Statistics, Yulin College, Yulin719000, Shanxi, China

In this paper, some nonsmooth generalized convex functions called uniform   convex function, uniform   pseudoconvex function, uniform   quasiconvex function are defined using  directional derivative and  subdifferential. Nonsmooth multi-objective semi-infinite programming involving these generalized convex functions is researched, some Mond-Weir type duality results are obtained.