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

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...

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Bibliographic Details
Published inKyungpook mathematical journal Vol. 61; no. 2; pp. 279 - 308
Main Authors Morales, Jose R, Rojas, Edixon M
Format Journal Article
LanguageKorean
Published 2021
Subjects
coincidence points
convergence
common fixed points
stability
Jungck-type iterative schemes
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Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO202121055515971
ISSN:1225-6951
0454-8124