Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations
The aim of this paper is to define weak α-ψ-φ-contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on Gb-metric spaces using the concept of rectangular G-α-admissibility. As an application, we derive new coupled and tripled coincidence point...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/568718 |
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| _version_ | 1832562005273214976 |
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| author | Marwan Amin Kutbi Nawab Hussain Jamal Rezaei Roshan Vahid Parvaneh |
| author_facet | Marwan Amin Kutbi Nawab Hussain Jamal Rezaei Roshan Vahid Parvaneh |
| author_sort | Marwan Amin Kutbi |
| collection | DOAJ |
| description | The aim of this paper is to define weak α-ψ-φ-contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on Gb-metric spaces using the concept of rectangular G-α-admissibility. As an application, we derive new coupled and tripled coincidence point results for weak ψ-φ-contractive mappings in partially ordered Gb-metric spaces. Our results are generalizations and extensions of some recent results in the literature. We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results. |
| format | Article |
| id | doaj-art-c7958516d9be4314b0ea940efed2d071 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c7958516d9be4314b0ea940efed2d0712025-02-03T01:23:42ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/568718568718Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral EquationsMarwan Amin Kutbi0Nawab Hussain1Jamal Rezaei Roshan2Vahid Parvaneh3Department 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 ArabiaDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranThe aim of this paper is to define weak α-ψ-φ-contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on Gb-metric spaces using the concept of rectangular G-α-admissibility. As an application, we derive new coupled and tripled coincidence point results for weak ψ-φ-contractive mappings in partially ordered Gb-metric spaces. Our results are generalizations and extensions of some recent results in the literature. We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results.http://dx.doi.org/10.1155/2014/568718 |
| spellingShingle | Marwan Amin Kutbi Nawab Hussain Jamal Rezaei Roshan Vahid Parvaneh Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations Abstract and Applied Analysis |
| title | Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations |
| title_full | Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations |
| title_fullStr | Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations |
| title_full_unstemmed | Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations |
| title_short | Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations |
| title_sort | coupled and tripled coincidence point results with application to fredholm integral equations |
| url | http://dx.doi.org/10.1155/2014/568718 |
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