Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces
The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair...
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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/10.1155/2015/532725 |
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| _version_ | 1832567364252598272 |
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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 | The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature. |
| format | Article |
| id | doaj-art-3c16acd6c4fd46e78761b19f7a25cb9c |
| 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-3c16acd6c4fd46e78761b19f7a25cb9c2025-02-03T01:01:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/532725532725Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric SpacesMujahid Abbas0Manuel De la Sen1Talat Nazir2Department of Mathematics and Applied Mathematics, University Pretoria, Lynnwood Road, Pretoria 0002, South AfricaInstitute of Research and Development of Process IIDP, Faculty of Science and Technology, University of the Basque Country, SpainDivision of Applied Mathematics, School of Education, Culture & Communication, Mälardalen University, 72123 Västerås, SwedenThe aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.http://dx.doi.org/10.1155/2015/532725 |
| spellingShingle | Mujahid Abbas Manuel De la Sen Talat Nazir Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces Discrete Dynamics in Nature and Society |
| title | Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces |
| title_full | Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces |
| title_fullStr | Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces |
| title_full_unstemmed | Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces |
| title_short | Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces |
| title_sort | common fixed points of generalized rational type cocyclic mappings in multiplicative metric spaces |
| url | http://dx.doi.org/10.1155/2015/532725 |
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