Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces

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...

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Veröffentlicht in:Abstract and Applied Analysis 2015, Vol.2015 (2015), p.1180-1185
Hauptverfasser: Pragadeeswarar, V., Marudai, M.
Format: Artikel
Sprache:eng
Schlagworte:
Estimating techniques
Mapping
Metric space
Ordinary differential equations
Proximity
Theorems
Uniqueness
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Beschreibung
Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/361657