Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings

Four fixed point theorems for nonlinear set-valued contractive mappings in complete metric spaces are proved. The results presented in this paper are extensions of a few well-known fixed point theorems. Two examples are also provided to illustrate our results.

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Main Authors: Zeqing Liu, Zhihua Wu, Shin Min Kang, Sunhong Lee
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/786061
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author Zeqing Liu
Zhihua Wu
Shin Min Kang
Sunhong Lee
author_facet Zeqing Liu
Zhihua Wu
Shin Min Kang
Sunhong Lee
author_sort Zeqing Liu
collection DOAJ
description Four fixed point theorems for nonlinear set-valued contractive mappings in complete metric spaces are proved. The results presented in this paper are extensions of a few well-known fixed point theorems. Two examples are also provided to illustrate our results.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-64c2505eff1841c4b25ee244c6b325162025-02-03T01:23:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/786061786061Some Fixed Point Theorems for Nonlinear Set-Valued Contractive MappingsZeqing Liu0Zhihua Wu1Shin Min Kang2Sunhong Lee3Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, ChinaDepartment of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, ChinaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaFour fixed point theorems for nonlinear set-valued contractive mappings in complete metric spaces are proved. The results presented in this paper are extensions of a few well-known fixed point theorems. Two examples are also provided to illustrate our results.http://dx.doi.org/10.1155/2012/786061
spellingShingle Zeqing Liu
Zhihua Wu
Shin Min Kang
Sunhong Lee
Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings
Journal of Applied Mathematics
title Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings
title_full Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings
title_fullStr Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings
title_full_unstemmed Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings
title_short Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings
title_sort some fixed point theorems for nonlinear set valued contractive mappings
url http://dx.doi.org/10.1155/2012/786061
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AT zhihuawu somefixedpointtheoremsfornonlinearsetvaluedcontractivemappings
AT shinminkang somefixedpointtheoremsfornonlinearsetvaluedcontractivemappings
AT sunhonglee somefixedpointtheoremsfornonlinearsetvaluedcontractivemappings