Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces
We introduce a generalized proximal weak contraction of rational type for the non-self-map and proved results to ensure the existence and uniqueness of best proximity point for such mappings in the setting of partially ordered metric spaces. Further, our results provides an extension of a result due...
| Published in: | Abstract and Applied Analysis |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Online Access: | http://dx.doi.org/10.1155/2015/361657 |
| Summary: | We introduce a generalized proximal weak contraction of rational type for the non-self-map and proved results to ensure the existence and uniqueness of best proximity point for such mappings in the setting of partially ordered metric spaces. Further, our results provides an extension of a result due to Luong and Thuan (2011) and also it provides an extension of Harjani (2010) to the case of self-mappings. |
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| ISSN: | 1085-3375 1687-0409 |