IJPAM: Volume 92, No. 4 (2014)

THREE BEST PROXIMITY POINT THEOREMS OF
SOME GENERALIZED PROXIMAL CONTRACTIONS

Pinya Ardsalee$^1$, Satit Saejung$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen, 40002, THAILAND
$^2$The Centre of Excellence in Mathematics
Commission on Higher Education (CHE)
Sri Ayudthaya Road, Bangkok 10400, THAILAND


Abstract. We prove three best proximity point theorems by using the concept of contractive conditions introduced by Boyd and Wong. These results are generalizations of the corresponding ones recently proved by Sadiq Basha, Fernádez-León, and Sankar Raj.

Received: November 15, 2013

AMS Subject Classification: 47H09, 47H10

Key Words and Phrases: best proximity point, generalized contraction condition

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DOI: 10.12732/ijpam.v92i4.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 4
Pages: 513 - 523

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).