Some fixed point theorems for (CAB)-contractive mappings and related results
In this paper, we introduced the concept of (CAB)-contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in metric spaces and several interesting corollaries are deduced. Also, as applicati...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Kragujevac, Faculty of Technical Sciences Čačak
2015-01-01
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| Series: | Mathematica Moravica |
| Subjects: | |
| Online Access: | http://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2015/1450-59321502097A.pdf |
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| Summary: | In this paper, we introduced the concept of (CAB)-contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in metric spaces and several interesting corollaries are deduced. Also, as application, we obtain some results on coupled fixed points, fixed point on metric spaces endowed with N-transitive binary relation and fixed point for cyclic mappings. The proved results generalize and extend various well-known results in the literature. |
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| ISSN: | 1450-5932 2560-5542 |