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• W2996642777 abstract "In recent times there have been two prominent trends in metric fixed point theory. One is the use of weak contractive inequalities and the other is the use of binary relations. Combining the two trends, in this paper we establish a relation-theoretic fixed point result for a mapping which is defined on a metric space with an arbitrary binary relation and satisfies a weak contractive inequality for any pair of points whenever the pair of points is related by a given relation. The uniqueness is obtained by assuming some extra conditions. The metric space is assumed to be R -complete. We use R -continuity of functions. The property of local T-transitivity of the relation R is used in the main theorem. There is an illustrative example. An existing fixed point result is generalized through the present work. We use a method in the proof of our main theorem which is a blending of relation-theoretic and analytic approaches." @default.
• W2996642777 created "2019-12-26" @default.
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• W2996642777 date "2019-12-21" @default.
• W2996642777 modified "2023-09-25" @default.
• W2996642777 title "Relation-Theoretic Fixed Point Theorems for Generalized Weakly Contractive Mappings" @default.
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• W2996642777 doi "https://doi.org/10.3390/sym12010029" @default.
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