Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces

We obtain some new fixed point theorems for a (𝜓,𝜙)-pair Meir-Keeler-type set-valued contraction map in metric spaces. Our main results generalize and improve the results of Klim and Wardowski, (2007).

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Main Author: Chi-Ming Chen
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/327941
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author Chi-Ming Chen
author_facet Chi-Ming Chen
author_sort Chi-Ming Chen
collection DOAJ
description We obtain some new fixed point theorems for a (𝜓,𝜙)-pair Meir-Keeler-type set-valued contraction map in metric spaces. Our main results generalize and improve the results of Klim and Wardowski, (2007).
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institution Kabale University
issn 1110-757X
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publishDate 2011-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-a12b0ea998b74efb9943ab68fde0e6e02025-02-03T01:24:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/327941327941Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric SpacesChi-Ming Chen0Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu, TaiwanWe obtain some new fixed point theorems for a (𝜓,𝜙)-pair Meir-Keeler-type set-valued contraction map in metric spaces. Our main results generalize and improve the results of Klim and Wardowski, (2007).http://dx.doi.org/10.1155/2011/327941
spellingShingle Chi-Ming Chen
Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces
Journal of Applied Mathematics
title Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces
title_full Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces
title_fullStr Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces
title_full_unstemmed Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces
title_short Some New Fixed-Point Theorems for a (𝜓,𝜙)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces
title_sort some new fixed point theorems for a 𝜓 𝜙 pair meir keeler type set valued contraction map in complete metric spaces
url http://dx.doi.org/10.1155/2011/327941
work_keys_str_mv AT chimingchen somenewfixedpointtheoremsforaψφpairmeirkeelertypesetvaluedcontractionmapincompletemetricspaces