Some optimality conditions of set-valued optimization problems in locally convex topological vector spaces
Optimization and Control
2024-03-05 v1
Abstract
In this article, we work with set-valued optimization problems in locally convex topological vector spaces. We prove the equivalencies of some definitions of generalized convex maps introduced by Jeyakumar, Yang, Yang & Yang & Chen, as well as Zeng. And then, we discuss the conditions of weakly efficient solutions, proper efficient solutions, and optimal solutions of set-valued optimization problems.
Cite
@article{arxiv.2403.02101,
title = {Some optimality conditions of set-valued optimization problems in locally convex topological vector spaces},
author = {Renying Zeng},
journal= {arXiv preprint arXiv:2403.02101},
year = {2024}
}