Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph

Journal of Linear and Topological Algebra

مقاله 5، دوره 06، شماره 04، اسفند 2017، صفحه 301-321   

نوع مقاله: Special Issue on Fixed Point Theory

نویسندگان

S. K. Mohanta^* ؛ S. Patra

Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India

چکیده

In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.

کلیدواژه‌ها

b-metric؛ digraph؛ weakly compatible mappings؛ Common fixed point

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