Title: Minimax Theorem for Two Set-Valued Mappings with Nonconvex Domains
Abstract: In this paper, we obtain the operational properties of the set MaxA (MaxWA, MinA and MinWA) of a set A in the sense of vector optimization and its’ applications to the judgment of the convexity and concavity of a set-valued mapping. By using the separation theorem of convex sets, some minimax theorems of two set-valued mappings have proved in the nonconvex sets. Simultaneously, two examples are given to show our results.
Publication Year: 2021
Publication Date: 2021-08-16
Language: en
Type: article
Indexed In: ['crossref']
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