COINCIDENCE POINT AND COMMON FIXED POINT RESULTS FOR A HYBRID PAIR OF MAPPINGS VIA DIGRAPHS

Authors

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

Keywords:

Digraph, weakly compatible mappings, point of coincidence, common fixed point

Subjects:

54H25, 47H10

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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Published

2019-07-15

Issue

Vol. 71 No. 3 (2019): Vol. 71, Issue 3

Section

Articles

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Copyright (c) 2019 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.