Generalized Proximal ψ-Contraction Mappings and Best Proximity Points

Generalized Proximal ψ-Contraction Mappings and Best Proximity Points

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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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (1), p.426-444-729
Hauptverfasser: Sanhan, Winate, Mongkolkeha, Chirasak, Kumam, Poom
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/896912