Fixed Points for ψ-Graphic Contractions with Application to Integral Equations
The aim of this paper is to define modified weak α-ψ-contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular α-admissibility. As an application, we prove new fixed point results for graphic weak ψ-contractive mapping...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/575869 |
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| _version_ | 1832561695779717120 |
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| author | N. Hussain S. Al-Mezel P. Salimi |
| author_facet | N. Hussain S. Al-Mezel P. Salimi |
| author_sort | N. Hussain |
| collection | DOAJ |
| description | The aim of this paper is to define modified weak α-ψ-contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular α-admissibility. As an application, we prove new fixed point results for graphic weak ψ-contractive mappings. Moreover, some examples and an application to integral equation are given here to illustrate the usability of the obtained results. |
| format | Article |
| id | doaj-art-39e69ed069f94e24a8e86c995b1eb4de |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-39e69ed069f94e24a8e86c995b1eb4de2025-02-03T01:24:28ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/575869575869Fixed Points for ψ-Graphic Contractions with Application to Integral EquationsN. Hussain0S. Al-Mezel1P. Salimi2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaYoung Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, IranThe aim of this paper is to define modified weak α-ψ-contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular α-admissibility. As an application, we prove new fixed point results for graphic weak ψ-contractive mappings. Moreover, some examples and an application to integral equation are given here to illustrate the usability of the obtained results.http://dx.doi.org/10.1155/2013/575869 |
| spellingShingle | N. Hussain S. Al-Mezel P. Salimi Fixed Points for ψ-Graphic Contractions with Application to Integral Equations Abstract and Applied Analysis |
| title | Fixed Points for ψ-Graphic Contractions with Application to Integral Equations |
| title_full | Fixed Points for ψ-Graphic Contractions with Application to Integral Equations |
| title_fullStr | Fixed Points for ψ-Graphic Contractions with Application to Integral Equations |
| title_full_unstemmed | Fixed Points for ψ-Graphic Contractions with Application to Integral Equations |
| title_short | Fixed Points for ψ-Graphic Contractions with Application to Integral Equations |
| title_sort | fixed points for ψ graphic contractions with application to integral equations |
| url | http://dx.doi.org/10.1155/2013/575869 |
| work_keys_str_mv | AT nhussain fixedpointsforpsgraphiccontractionswithapplicationtointegralequations AT salmezel fixedpointsforpsgraphiccontractionswithapplicationtointegralequations AT psalimi fixedpointsforpsgraphiccontractionswithapplicationtointegralequations |