Best Proximity Points for Cyclical Contractive Mappings

J. Maria Felicit

India

St. Joseph's College, Tiruchirappalli, India

A. Anthony Eldred

India

St. Joseph's College Tiruchirappalli

Submitted: 2014-08-25

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Accepted: 2015-04-11

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Published: 2015-10-01

DOI: https://doi.org/10.4995/agt.2015.3242
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Keywords:

best proximity point, p-cyclic mapping, cyclical contractive mapping, cyclical proximal property

Supporting agencies:

This research was not funded

Abstract:

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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References:

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