Fixed point theorems for condensing multimaps on locally \(G\)-convex spaces
type: Item
instance of: scholarly article
title: Fixed point theorems for condensing multimaps on locally \(G\)-convex spaces
zbMATH Open document ID: 1122.47046
author: Young-Ye Huang
author: Tian-Yuan Kuo
author: Jyh-Chung Jeng
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-06-08T00:00:00Z
review text: The authors extend the concepts of measure of precompactness and condensing multimap on locally convex topological vector spaces to locally \(G\)-convex uniform spaces. They show that every condensing closed self-multimap that has \(\Gamma\)-convex values on a nonempty complete \(\Gamma\)-convex subset of a locally \(G\)-convex space has a fixed point. Some fixed point results for condensing multimaps which have lower semicontinuous cores and applications to abstract economies are also presented.
reviewed by: Mircea Balaj
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 91B50
zbMATH DE Number: 5162707
zbMATH Keywords: fixed point
zbMATH Keywords: lower semicontinuous core
zbMATH Keywords: condensing multimap
zbMATH Keywords: measure of precompactness
zbMATH Keywords: G-convex space
zbMATH Keywords: abstract economy
MaRDI profile type: Publication
full work available at URL: j.na.2006.07.034
OpenAlex ID: W2075479341
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DOI: 10.1016/J.NA.2006.07.034
description: scientific article; zbMATH DE number 5162707