SOME RELATION THEORETIC NONUNIQUE FIXED POINT THEOREMS FOR CERTAIN CONTRACTION MAPPINGS IN A NON-COMPLETE METRIC SPACE

Abstract

In this paper, we establish some nonunique fixed point results for the orbital relationally continuous self-mappings of orbital relationally complete metric space satisfying a more generalized contraction condition than given in the literature. Our nonunique fixed point results include some interesting similar results in an orbital partially complete metric space as the special cases. Our abstract results are also illustrated with the help of a couple of numerical examples.