Abstract

AKKOUCHI, Mohamed. A general common fixed point result for two pairs of maps in b-metric spaces. Proyecciones (Antofagasta) [online]. 2020, vol.39, n.5, pp.1251-1266. ISSN 0716-0917.  http://dx.doi.org/10.22199/issn.0717-6279-2020-05-0076.

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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