BEST PROXIMITY POINT THEOREMS FOR $\alpha-$ GERAGHTY CONTRACTION TYPE MAPS IN METRIC SPACES
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 |
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 map, metric spaces, $p$-property, triangular $\alpha$-admissible, generalized $\alpha$-Geraghty contraction.
A.M.S. subject classification
47H10.
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