Some optimality conditions of set-valued optimization problems in locally convex topological vector spaces

2024/03/04 by Renying Zeng, Zeng, Renying
Computer Science · Mathematics · #Optimization and Variational Analysis #Fixed Point Theorems Analysis

paper · pdf · doi:10.48550/arxiv.2403.02101

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.

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