New techniques on fixed point theorems for symmetric contraction mappings with its application-Reference-Cited by-同舟云学术

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

Published:2023 Issue:4 Volume:8 Page:9118-9145
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mudhesh Mustafa¹,Hussain Aftab²,Arshad Muhammad¹,AL-Sulami Hamed²,Ali Amjad¹

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

2. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

<abstract><p>The target of this manuscript is to introduce new symmetric fractional $ \alpha $-$ \beta $-$ \eta $-$ \Upsilon $-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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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