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Abstract
Generalization of Banach Fixed Point Theorem for different metric spaces like dislocated metric space, dislocated quasi metric space, b-metric space and S-metric space etc was studied by several authors using different conditions on self-mapping. Dolhare and Nalawade studied the generalization in -orbitally complete metric space. In this research article, we have proved two new results of the existence and uniqueness of fixed point for selfmapping in -orbitally complete dislocated metric space by the rationalization condition on . Also, we have proved consequences of our main results.
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References
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