Saddle-point theorems for the generalized cone-convex optimizations of set-valued functions
Optimization and Control
2017-09-15 v1
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.
Cite
@article{arxiv.1709.04892,
title = {Saddle-point theorems for the generalized cone-convex optimizations of set-valued functions},
author = {Renying Zeng},
journal= {arXiv preprint arXiv:1709.04892},
year = {2017}
}
Comments
Preconvexlike set-valued function, topological linear space, Farkas-Minkowski alternative theorem, vector optimization