MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
COINCIDENCE POINT AND COMMON FIXED POINT RESULTS FOR A HYBRID PAIR OF MAPPINGS VIA DIGRAPHS
S. K. Mohanta

Abstract

In this paper, we introduce the concept of $(\alpha, \psi, \xi )-G$-contractive mappings in a metric space endowed with a directed graph $G$. We investigate the existence and uniqueness of points of coincidence and common fixed points for such mappings under some conditions. Our results extend and generalize several well-known comparable results in the literature. Some examples are provided to justify the validity of our results.

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Keywords: Digraph; weakly compatible mappings; point of coincidence; common fixed point.

MSC: 54H25, 47H10

Pages:  230--243     

Volume  71 ,  Issue  3 ,  2019