Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces
We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in co...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/147303 |
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| _version_ | 1832556936146452480 |
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| author | Mujahid Abbas Manuel De la Sen Talat Nazir |
| author_facet | Mujahid Abbas Manuel De la Sen Talat Nazir |
| author_sort | Mujahid Abbas |
| collection | DOAJ |
| description | We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature. |
| format | Article |
| id | doaj-art-0fdb2e7815c7443ea1261392a93d0dc2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0fdb2e7815c7443ea1261392a93d0dc22025-02-03T05:44:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/147303147303Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric SpacesMujahid Abbas0Manuel De la Sen1Talat Nazir2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaInstitute of Research and Development of Process (IIDP), Faculty of Science and Technology, University of the Basque Country, 48940 Leioa, SpainDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, PakistanWe present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.http://dx.doi.org/10.1155/2015/147303 |
| spellingShingle | Mujahid Abbas Manuel De la Sen Talat Nazir Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces Discrete Dynamics in Nature and Society |
| title | Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces |
| title_full | Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces |
| title_fullStr | Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces |
| title_full_unstemmed | Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces |
| title_short | Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces |
| title_sort | common fixed points of generalized cocyclic mappings in complex valued metric spaces |
| url | http://dx.doi.org/10.1155/2015/147303 |
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