Best Proximity Points for Cyclical Contractive Mappings

We consider p-cyclic mappings and prove an analogous result to Edelstien contractive theorem for best proximity points. Also we give similar results satisfying Boyd-Wong and Geraghty contractive conditions.

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Bibliographic Details
Published inApplied general topology Vol. 16; no. 2; pp. 119 - 126
Main Authors Felicit, J. Maria, Eldred, A. Anthony
Format Journal Article
LanguageEnglish
Published Universitat Politècnica de València 01.10.2015
Subjects
best proximity point, p-cyclic mapping, cyclical contractive mapping, cyclical proximal property
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Summary:We consider p-cyclic mappings and prove an analogous result to Edelstien contractive theorem for best proximity points. Also we give similar results satisfying Boyd-Wong and Geraghty contractive conditions.
ISSN:1576-9402
1989-4147
DOI:10.4995/agt.2015.3242