Fixed Point Results for Certain Contractive Self-Mappings in D-Metric Space

Abstract

There have been number of generalizations of Metric spaces. D?Metric space is one such generalization initiated by Dhage [ 1 ] in 1992 and open new research area. Rhoades [ 2 ] generalized Dhage?s contractive condition by increasing number of factors and proved fixed point of self?mapping in D?Metric space. Then many authors have obtained, interesting fixed point results in D?Metric space satisfying contractive type condition.The present paper studies some fixed point theorems in D-Metric space and proved new fixed point theorem and its corollary in a bounded D?Metric space for a contractive self ? mapping.