Common best proximity points of some graph-theoretical notions of dominating pairs
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Keywords:
best proximity point, common best proximity point, Geraghty’s type contraction, G–proximalAbstract
This article deals with a metric space endowed with a directed graph. In order to obtain common
best proximity point results, we introduce a concept of Geraghty’s type contraction satisfying certain
properties on the graph. An example and some consequences are also provided
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