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Common Fixed Point Theorem Governed by Implicit Relation and Property (E. A.)

G. P. S. Rathore, Bijendra Singh, Kirty Chauhan

In order to demonstrate the utility of implicit relation in metric space, we have added common fixed point theorem through this paper. It is a generalized work on pointwise R-weakly commuting and compatible mappings sharing the common property (E. A.). This work extends the results contained in available research work over compatible mappings and as a bi-product we obtain new theorem in metric spaces.