广义对称G-(F,α,ε)-凸多目标半无限规划的最优性条件

Optimality Conditions for Generalized Symmetric G-(F,α,ε)-convex Multi-objective Semi-infinite Programming

利用对称梯度,引入广义对称G-(F,α,ε)-凸函数、广义对称G-(F,α,ε)-拟凸函数和广义对称G-(F,α,ε)-伪凸函数等概念,推广了已有的凸函数,在其广义凸性下得到了一类多目标规划问题的一些最优性充分条件。

Using symmetric gradient,the concepts of generalized symmetric G-(F,α,ε)-convex function,generalized symmetric G-(F,α,ε)-quasi convex function and generalized symmetric G-(F,α,ε)-pseudo convex function are introduced to generalize the existing convex functions.Under their generalized convexity,some sufficient optimality conditions for a class of multi-objective programming problems are obtained.