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

Authors

  • S. K. Mohanta Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India
  • S. Patra Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India
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 unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.

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Journal title

volume 06  issue 04

pages  301- 321

publication date 2017-12-01

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