Article overview
Abstract
In this paper we introduce a notion of $\alpha$-Greaghty contraction type maps in the setting of a metric space. We also establish a Best Proximity point theorem for such maps using $p$-property.
Keywords and Phrases
Best Proximity point$\alpha$-Geraghty contraction type mapmetric spaces$p$-propertytriangular $\alpha$-admissiblegeneralized $\alpha$-Geraghty contraction.
AMS Subject Classification
47H10.
Reference information
How to Cite
S. Arul Ravi (2021). BEST PROXIMITY POINT THEOREMS FOR $\alpha-$ GERAGHTY CONTRACTION TYPE MAPS IN METRIC SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 425-432.