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

• Akkouchi, Mohamed ^[1]
  1. [1] Cadi Ayyad University

     Cadi Ayyad University

     Marrakech-Medina, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 5, 2020, págs. 1251-1266
• Idioma: inglés
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• Resumen

  • 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.