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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Format: | Article |
Language: | English |
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Wiley
2011-01-01
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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). |
format | Article |
id | doaj-art-a12b0ea998b74efb9943ab68fde0e6e0 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
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 |