Saddle-point theorems for the generalized cone-convex optimizations of set-valued functions

Abstract

This paper works with preconvexlike set-valued vector optimization problems in topological linear spaces. A Fakas-Minkowski alternative theorem, a scalarization theorem, some vector saddle-point theorems and some scalar saddle point theorem are proved.

Preconvexlike set-valued function, topological linear space, Farkas-Minkowski alternative theorem, vector optimization