Minimax theorems for set-valued mappings under cone-convexities
type: Item
instance of: scholarly article
title: Minimax theorems for set-valued mappings under cone-convexities
zbMATH Open document ID: 1264.49017
DOI: 10.1155/2012/310818
author: Y. C. Lin
author: Hang-Chin Lai
author: Qamrul Hasan Ansari
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: The aim of this paper is to study the minimax theorems for set-valued mappings with or without linear structure. We define several kinds of cone-convexities for set-valued mappings, give some examples of such set-valued mappings, and study the relationships among these cone-convexities. By using our minimax theorems, we derive some existence results for saddle points of set-valued mappings. Some examples are also given to illustrate our results .
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 49J35
zbMATH DE Number: 6134059
zbMATH Keywords: minimax theorems
zbMATH Keywords: set-valued mappings
zbMATH Keywords: cone-convexities
zbMATH Keywords: saddle points
Wikidata QID: Q58696310
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/310818
OpenAlex ID: W2118238641
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description: scientific article; zbMATH DE number 6134059