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Coincidence Theorems in New Generalized Metric Spaces under Locally g-Transitive Binary Relation
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In this paper, we establish coincidence point theorems for contractive mappings, using locally g-transitivity of binary relation in new generalized metric spaces. In the present results, we use some relation theoretic analogues of standard metric notions such as continuity, completeness and regularity. In this way our results extend, modify and generalize some recent fixed point theorems, for instance, Karapinar et al [J. Fixed Point Theory Appl. 18(2016) 645-671], Alam and Imdad [Fixed Point Theory, in press].
Keywords
Generalized Metric Space, Modular Spaces, R-Continuity, Coincidence Point, Locally g-Transitive Binary Relation.
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