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Research Article | Open Access

Certain new aspects in fuzzy fixed point theory

Umar Ishtiaq1( ), Aftab Hussain2, Hamed Al Sulami2
ORIC, University of management and technology, Lahore, Pakistan
Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
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Abstract

We will establish several fixed point results in new introduced spaces in this manuscript known as fuzzy rectangular metric-like spaces and rectangular b-metric-like spaces. These new results and spaces will improve the approach of existing ones in the literature. Few non-trivial examples and an application also verify the uniqueness of solution.

Keywords

fuzzy rectangular metric spacefuzzy rectangular b-metric-like spacecontraction mappingsfixed point theoremsFredholm integral equations
CLC number: 47H10, 54H25

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8558-8573
DOI: 10.3934/math.2022477

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Cite this article:
Ishtiaq U, Hussain A, Al Sulami H. Certain new aspects in fuzzy fixed point theory. AIMS Mathematics, 2022, 7(5): 8558-8573. https://doi.org/10.3934/math.2022477

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Received: 20 November 2021
Revised: 12 January 2022
Accepted: 17 January 2022
Published: 15 May 2022
©2022 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)