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Best proximity points for generalized proximal weak contractions satisfying rational expression on ordered metric spaces

Publication Type : Journal Article

Publisher : Abstract and Applied Analysis

Source : In Abstract and Applied Analysis, 2015 (2015), Hindawi.

Url : https://www.hindawi.com/journals/aaa/2015/361657/

Campus : Coimbatore

Year : 2015

Abstract : 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.

Cite this Research Publication : V. Pragadeeswarar, M. Marudai, Best proximity points for generalized proximal weak contractions satisfying rational expression on ordered metric spaces, In Abstract and Applied Analysis, 2015 (2015), Hindawi.

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