Fixed point and equilibrium theorems in a generalized convexity framework
type: Item
instance of: scholarly article
title: Fixed point and equilibrium theorems in a generalized convexity framework
zbMATH Open document ID: 1277.90136
author: Monica Patriche
published in: Journal of Optimization Theory and Applications
publication date: 2013-05-08T00:00:00Z
review text: Several types of nonconvex valued set-valued map are defined. Some new fixed point theorems are estbalished under B-convexity framework. As usual, several results concerning the existence of equilibria for the new model of quasi-game are established.
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 6161536
zbMATH Keywords: fixed point
zbMATH Keywords: quasi-equilibria
zbMATH Keywords: \(\mathbb{B}\)-convexity
zbMATH Keywords: set-valued maps with \(\ast \)-weakly \(\mathbb{B}\)-convex graph
zbMATH Keywords: \(\ast \)-naturally \(\mathbb{B}\)-quasiconvex set-valued maps
reviewed by: Qamrul Hasan Ansari
MaRDI profile type: Publication
full work available at URL: s10957-012-0133-3
OpenAlex ID: W2022020406
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DOI: 10.1007/S10957-012-0133-3
description: scientific article; zbMATH DE number 6161536