MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Common fixed points in $b$-metric spaces endowed with a graph
Sushanta Kumar Mohanta

Abstract

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

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Keywords: $b$-metric; reflexive digraph; point of coincidence; common fixed point

MSC: 47H10, 54H25

Pages:  140--154     

Volume  68 ,  Issue  2 ,  2016