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Research Article | Open Access

New techniques on fixed point theorems for symmetric contraction mappings with its application

Mustafa Mudhesh1( ), Aftab Hussain2( ), Muhammad Arshad1, Hamed AL-Sulami2( ), Amjad Ali1
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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Abstract

The target of this manuscript is to introduce new symmetric fractional α- β- η- Υ-contractions and prove some new fixed point results for such contractions in the setting of M b -metric space. Moreover, we derive some results for said contractions on closed ball of mentioned space. The existence of the solution to a fractional-order differential equation with one boundary stipulation will be discussed.

Keywords

fixed point theoremsMb-metric spacesymmetric fractional α-β-η-Υ-contractionfractional-order differential equation
CLC number: 46S40, 47H10, 54H25

References

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 9118-9145
DOI: 10.3934/math.2023457

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Cite this article:
Mudhesh M, Hussain A, Arshad M, et al. New techniques on fixed point theorems for symmetric contraction mappings with its application. AIMS Mathematics, 2023, 8(4): 9118-9145. https://doi.org/10.3934/math.2023457

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Received: 24 October 2022
Revised: 08 January 2023
Accepted: 31 January 2023
Published: 15 April 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)