Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces
type: Item
instance of: scholarly article
title: Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces
zbMATH Open document ID: 1296.54061
DOI: 10.1155/2012/842515
author: Yan-Mei Du
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We firstly prove some new fixed point theorems for set-valued mappings in noncompact abstract convex spaces. Next, two existence theorems of maximal elements for class of \(\mathcal A_{C, \theta}\) mapping and \(\mathcal A_{C, \theta}\)-majorized mapping are obtained. As applications, we establish new equilibria existence theorems for qualitative games and generalized games. Our theorems improve and generalize the most known results in recent literature.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 91A07
zbMATH DE Number: 6134173
zbMATH Keywords: fixed point
zbMATH Keywords: set-valued mapping
zbMATH Keywords: noncompactness
zbMATH Keywords: abstract convex space
zbMATH Keywords: majorized mapping
zbMATH Keywords: qualitative game
zbMATH Keywords: generalized game
Wikidata QID: Q58696924
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/842515
OpenAlex ID: W2044042011
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description: scientific article; zbMATH DE number 6134173