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...
| 發表在: | Abstract and Applied Analysis |
|---|---|
| Main Authors: | , |
| 格式: | Article |
| 語言: | 英语 |
| 出版: |
Wiley
2015-01-01
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| 在線閱讀: | http://dx.doi.org/10.1155/2015/361657 |
| _version_ | 1849630992014245888 |
|---|---|
| author | V. Pragadeeswarar M. Marudai |
| author_facet | V. Pragadeeswarar M. Marudai |
| author_sort | V. Pragadeeswarar |
| collection | DOAJ |
| container_title | Abstract and Applied Analysis |
| description | 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. |
| format | Article |
| id | doaj-art-2cea08ffecff4cae9e166a40809ec7d6 |
| institution | Directory of Open Access Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| spelling | doaj-art-2cea08ffecff4cae9e166a40809ec7d62025-08-20T02:24:18ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/361657361657Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric SpacesV. Pragadeeswarar0M. Marudai1Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620 024, IndiaDepartment of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620 024, IndiaWe 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.http://dx.doi.org/10.1155/2015/361657 |
| spellingShingle | V. Pragadeeswarar M. Marudai Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces |
| title | Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces |
| title_full | Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces |
| title_fullStr | Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces |
| title_full_unstemmed | Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces |
| title_short | Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces |
| title_sort | best proximity points for generalized proximal weak contractions satisfying rational expression on ordered metric spaces |
| url | http://dx.doi.org/10.1155/2015/361657 |
| work_keys_str_mv | AT vpragadeeswarar bestproximitypointsforgeneralizedproximalweakcontractionssatisfyingrationalexpressiononorderedmetricspaces AT mmarudai bestproximitypointsforgeneralizedproximalweakcontractionssatisfyingrationalexpressiononorderedmetricspaces |