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

Jose R. Morales|Edixon M. Rojas
경북대학교 자연과학대학 수학과|2021.06|Kyungpook Mathematical Journal|제61권 제2호|pp. 279-308

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참고문헌

키워드

stabilityconvergencecommon fixed pointscoincidence pointsJungck-type iterative schemes
주제분류수학

초록

The purpose of this paper is to introduce a class of contractive pairs of map pings satisfying a Zamfirescu-type inequality, but controlled with altering distance func tions 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.

Abstract

The purpose of this paper is to introduce a class of contractive pairs of map pings satisfying a Zamfirescu-type inequality, but controlled with altering distance func tions 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.

참고문헌 (23)

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관련 논문AI추천

EXISTENCE OF FIXED POINTS OF SET-VALUED MAPPINGS IN b-METRIC SPACESErdal Karapnar, Hassen Aydi, Hojjat Afshari영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호On common fixed points for generalized contractive type mappings in ordered metric spacesSumit Chandok장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호Coincidence Point Results under Geraghty-­type ContractionAmrish Handa한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제3호Fixed point theorems for generalized Suzuki-Berinde type $\mathcal{L}_{\gamma}$-contractions in Branciari distance spaces조성훈기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제26권 제1호Common Fixed Points of Generalized Contractive Mappings유미자, 조선영영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Common fixed point for generalized multivalued mappings via simulation function in metric spacesSwati Anta, U. C. Gairola대한수학회 · 대한수학회논문집2020 · 제35권 제4호

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