The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications
We introduce the concept of the generalized -contraction mappings and establish the existence of fixed point theorem for such mappings by using the properties of -distance and -admissible mappings. We also apply our result to coincidence point and common fixed point theorems in metric s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/165434 |
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| _version_ | 1832548064080953344 |
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| author | Marwan Amin Kutbi Wutiphol Sintunavarat |
| author_facet | Marwan Amin Kutbi Wutiphol Sintunavarat |
| author_sort | Marwan Amin Kutbi |
| collection | DOAJ |
| description | We introduce the concept of the generalized -contraction mappings and establish the existence of fixed point theorem for such mappings by using
the properties of -distance and -admissible mappings. We also apply
our result to coincidence point and common fixed point theorems in metric spaces. Further,
the fixed point theorems endowed with an arbitrary binary relation are also derived from our results.
Our results generalize the result of Kutbi, 2013, and several results in the literature. |
| format | Article |
| id | doaj-art-7ab1c7e04dac458ca55c372484eaac96 |
| 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-7ab1c7e04dac458ca55c372484eaac962025-02-03T06:42:18ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/165434165434The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and ApplicationsMarwan Amin Kutbi0Wutiphol Sintunavarat1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Rangsit Center, Pathumthani 12121, ThailandWe introduce the concept of the generalized -contraction mappings and establish the existence of fixed point theorem for such mappings by using the properties of -distance and -admissible mappings. We also apply our result to coincidence point and common fixed point theorems in metric spaces. Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results. Our results generalize the result of Kutbi, 2013, and several results in the literature.http://dx.doi.org/10.1155/2013/165434 |
| spellingShingle | Marwan Amin Kutbi Wutiphol Sintunavarat The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications Abstract and Applied Analysis |
| title | The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications |
| title_full | The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications |
| title_fullStr | The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications |
| title_full_unstemmed | The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications |
| title_short | The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications |
| title_sort | existence of fixed point theorems via distance and admissible mappings and applications |
| url | http://dx.doi.org/10.1155/2013/165434 |
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