Common fixed points for ($ \kappa _{G_{m}} $)-contractions with applications

In this publication, our objective was to introduce and establish the concepts of $ \kappa _{G_{m}} $-contraction and generalized $ (\alpha, \kappa _{G_{m}}) $-contraction in complete $ G_{m} $-metric spaces, which led to the discovery of novel fixed points, coincidence points, and common fixed poin...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 6; pp. 15949 - 15965
Main Authors Ahmad, Jamshaid, Shoaib, Abdullah, Ayoob, Irshad, Mlaiki, Nabil
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
(\kappa _{g_{m}}) $ -contraction
fixed point
g_{m} $-metric space
generalized $ (\alpha
integral equation
Online AccessGet full text

Cover

More Information
Summary:In this publication, our objective was to introduce and establish the concepts of $ \kappa _{G_{m}} $-contraction and generalized $ (\alpha, \kappa _{G_{m}}) $-contraction in complete $ G_{m} $-metric spaces, which led to the discovery of novel fixed points, coincidence points, and common fixed points. Additionally, we demonstrated the usefulness of our main results by applying it to the investigation of the integral equation. Also, we presenting a noteworthy example demonstrating the practicality of our primary hypothesis.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024772