Fixed Point Theory in α-Complete Metric Spaces with Applications
The aim of this paper is to introduce new concepts of α-η-complete metric space and α-η-continuous function and establish fixed point results for modified α-η-ψ-rational contraction mappings in α-η-complete metric spaces. As an application, we derive some Suzuki type fixed point theorems and new fix...
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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/10.1155/2014/280817 |
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| author | N. Hussain M. A. Kutbi P. Salimi |
| author_facet | N. Hussain M. A. Kutbi P. Salimi |
| author_sort | N. Hussain |
| collection | DOAJ |
| description | The aim of this paper is to introduce new concepts of α-η-complete metric space and α-η-continuous function and establish fixed
point results for modified α-η-ψ-rational contraction mappings in α-η-complete metric spaces. As an application, we derive some Suzuki type
fixed point theorems and new fixed point theorems for ψ-graphic-rational contractions. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results. |
| format | Article |
| id | doaj-art-f5ccb61354784f35976d5e3774ec41c5 |
| 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-f5ccb61354784f35976d5e3774ec41c52025-02-03T01:24:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/280817280817Fixed Point Theory in α-Complete Metric Spaces with ApplicationsN. Hussain0M. A. Kutbi1P. Salimi2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, 21589 Jeddah, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, 21589 Jeddah, Saudi ArabiaYoung Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, IranThe aim of this paper is to introduce new concepts of α-η-complete metric space and α-η-continuous function and establish fixed point results for modified α-η-ψ-rational contraction mappings in α-η-complete metric spaces. As an application, we derive some Suzuki type fixed point theorems and new fixed point theorems for ψ-graphic-rational contractions. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.http://dx.doi.org/10.1155/2014/280817 |
| spellingShingle | N. Hussain M. A. Kutbi P. Salimi Fixed Point Theory in α-Complete Metric Spaces with Applications Abstract and Applied Analysis |
| title | Fixed Point Theory in α-Complete Metric Spaces with Applications |
| title_full | Fixed Point Theory in α-Complete Metric Spaces with Applications |
| title_fullStr | Fixed Point Theory in α-Complete Metric Spaces with Applications |
| title_full_unstemmed | Fixed Point Theory in α-Complete Metric Spaces with Applications |
| title_short | Fixed Point Theory in α-Complete Metric Spaces with Applications |
| title_sort | fixed point theory in α complete metric spaces with applications |
| url | http://dx.doi.org/10.1155/2014/280817 |
| work_keys_str_mv | AT nhussain fixedpointtheoryinacompletemetricspaceswithapplications AT makutbi fixedpointtheoryinacompletemetricspaceswithapplications AT psalimi fixedpointtheoryinacompletemetricspaceswithapplications |