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http://dx.doi.org/10.5666/KMJ.2021.61.2.279

Generalized 𝜓-Geraghty-Zamfirescu Contraction Pairs in b-metric Spaces  

Morales, Jose R. (Departamento de Matematicas, Universidad de Los Andes)
Rojas, Edixon M. (Departamento de Matematicas, Universidad Nacional de Colombia)
Publication Information
Kyungpook Mathematical Journal / v.61, no.2, 2021 , pp. 279-308 More about this Journal
Abstract
The purpose of this paper is to introduce a class of contractive pairs of mappings satisfying a Zamfirescu-type inequality, but controlled with altering distance functions and with parameters satisfying the so-called Geraghty condition in the framework of b-metric spaces. For this class of mappings we prove the existence of points of coincidence, the convergence and stability of the Jungck, Jungck-Mann and Jungck-Ishikawa iterative processes and the existence and uniqueness of its common fixed points.
Keywords
coincidence points; Jungck-type iterative schemes; convergence; stability; common fixed points;
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