On Sub Convexlike Optimization Problems

Abstract

In this paper, we show that the sub convexlikeness and subconvexlikeness defined by V. Jeyakumar are equivalent in locally convex topological spaces. We also deal with set-valued vector optimization problems and obtained vector saddle-point theorems and vector Lagrangian theorems.

Keywords

• locally convex topological space
• subconvexlikeness
• sub convexlikeness
• vector Lagrangian multiplier theorems
• vector saddle-point theorems