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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.39 no.5 Antofagasta  2020

http://dx.doi.org/10.22199/issn.0717-6279-2020-05-0076 

Artículos

A general common fixed point result for two pairs of maps in b-metric spaces

Mohamed Akkouchi1 

1University Cadi Ayyad, Dept. of Mathematics, Faculty of Sciences-Semlalia, Marrakesh, Morocco. e-mail: akkm555@yahoo.fr

Abstract

We establish a general common fixed point problem for two pairs {f, S} and {g, T } of weakly compatibles selfmaps of a complete b-metric (X, d; s). These maps are satisfying a contractive condition defined by a class of implicit relations in five variables. This contraction unifies, in one go, several contractive conditions previously used in a set of recent papers dealing with fixed point or common fixed results for selfmaps of b-metric spaces. We provide an illustrative example.

Keywords: Complete b-metric spaces; Implicit relations; Common fixed point for four maps; Weakly compatible maps; Compatible maps

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References

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Received: September 30, 2019; Accepted: July 31, 2020

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