Generalized Proximal ψ -Contraction Mappings and Best Proximity Points

Winate Sanhan; Chirasak Mongkolkeha; Poom Kumam

doi:10.1155/2012/896912

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Home > Journals > Abstr. Appl. Anal. > Volume 2012 > Article

2012 Generalized Proximal

\psi

-Contraction Mappings and Best Proximity Points

Winate Sanhan, Chirasak Mongkolkeha, Poom Kumam

Abstr. Appl. Anal. 2012: 1-19 (2012). DOI: 10.1155/2012/896912

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Abstract

We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.

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Winate Sanhan. Chirasak Mongkolkeha. Poom Kumam. "Generalized Proximal $\psi$ -Contraction Mappings and Best Proximity Points." Abstr. Appl. Anal. 2012 1 - 19, 2012. https://doi.org/10.1155/2012/896912