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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Language: | English |
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Wiley
2012-01-01
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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 |
id | doaj-art-64c2505eff1841c4b25ee244c6b32516 |
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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