• FIXED POINT OF GERAGHTY’S CONTRACTIVE MAPPING IN 2-METRIC SPACES
Abstract
In this paper a necessary and sufficient condition for the existence of fixed points for a class of Geraghty contractive mappings on a complete 2-metric space have been obtained. Our results generalize and improve several fixed point theorems for contractive mappings on a complete 2-metric space as available in the literatures.
Keywords
complete 2-metric space, fixed point, Geraghty function, convergence of iteration.
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