Common fixed points in $b$-metric spaces endowed with a graph

Authors

  • Sushanta Kumar Mohanta Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India Author

Keywords:

$b$-metric, reflexive digraph, point of coincidence, common fixed point

Subjects:

47H10, 54H25

Abstract

We discuss the existence and uniqueness of points of coincidence and common fixedpoints for a pair of self-mappings defined on a $b$-metric space endowed with a graph. Our resultsimprove and supplement several recent results of metric fixed point theory.

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Published

2016-04-15