Sufficiency of the solution for multi-objective simi-infinite programming with K – (Fb, ρ)– convexity

Hong Yang

COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12A) 270-274

School of Mathematics and Statistics, Yulin College, Yulin 719000, Shanxi, China

In this paper, some nonsmooth generalized convex functions called uniform K – (Fb, ρ) – convex function,uniform K – (Fb, ρ) – pseudoconvex function, uniform K – (Fb, ρ) – quasiconvex functionare defined using K – directional derivative and K – subdifferential. Nonsmooth multi-objective semi-infinite programming involving these generalized convex functions is researched, some sufficient optimality conditions are obtained.