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Research Article | Open Access

Common fixed point results via A ϑ - α-contractions with a pair and two pairs of self-mappings in the frame of an extended quasi b-metric space

Amina-Zahra Rezazgui1( ), Abdalla Ahmad Tallafha1, Wasfi Shatanawi2,3,4( )
Department of Mathematics, Faculty of Science, University of Jordan, Amman, Jordan
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
Medical Research, China Medical University Hospital, China Medical University, Taichung
Department of Mathematics, Faculty of Science, Hashemite University, Zarqa, Jordan
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Abstract

In this paper, we take advantage of implicit relationships to come up with a new concept called " A ϑ - α-contraction mapping". We utilized our new notion to formulate and prove some common fixed point theorems for two and four self-mappings over complete extended quasi b-metric spaces under a set of conditions. Our main results widen and improve many existing results in the literature. To support our research, we present some examples as applications to our main findings.

Keywords

common fixed pointextended quasi b-metric spaceAϑ-α-contractionscompatible mapping
CLC number: 37C25, 47H10, 54H25

References

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 7225-7241
DOI: 10.3934/math.2023363

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Rezazgui A-Z, Tallafha AA, Shatanawi W. Common fixed point results via A ϑ - α-contractions with a pair and two pairs of self-mappings in the frame of an extended quasi b-metric space. AIMS Mathematics, 2023, 8(3): 7225-7241. https://doi.org/10.3934/math.2023363

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Received: 07 October 2022
Revised: 22 December 2022
Accepted: 30 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)