Fixed point theorems for multivalued maps
type: Item
instance of: scholarly article
title: Fixed point theorems for multivalued maps
zbMATH Open document ID: 1390.54047
author: Nguyen Van Luong
author: Xiaolong Qin
published in: Journal of Fixed Point Theory and Applications
publication date: 2018-04-11T00:00:00Z
review text: Motivated by the recent work of \textit{A. Latif} and \textit{D.T. Luc} [Abstr. Appl. Anal. 2014, Article ID 104762, 5 p. (2014; \url{doi:10.1155/2014/104762})], the authors prove a fixed point theorem for multivalued maps with nonempty closed values in complete metric spaces. It is illustrated by an example that the theorem is more general than earlier known results. Moreover, this result is applied to show that under certain conditions every \(k\)-Lipschitz multivalued map defined on a closed convex subset of a Banach space has a fixed point, where \(k\) is possibly greater than 1.
reviewed by: In-Sook Kim
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6858706
zbMATH Keywords: fixed point
zbMATH Keywords: multivalued map
zbMATH Keywords: Lipschitz map
MaRDI profile type: Publication
full work available at URL: s11784-018-0495-8
OpenAlex ID: W2788919245
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DOI: 10.1007/S11784-018-0495-8
description: scientific article; zbMATH DE number 6858706