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

Subject Areas : Fixed point theory

S. K. Mohanta ¹ , S. Patra ²

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

Received: 2017-10-30 Accepted : 2017-12-23 Published : 2017-12-01

Keywords: b-metric, Common fixed point, digraph, weakly compatible mappings,

Abstract :

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 unifymany existing results in the literature. Finally, we construct some examples to analyze and support our results.

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