A Solution Approach to Nonlinear Integral Equations in Generalized b-Metric Spaces

In this paper, we study some generalized contraction conditions for three self-mappings on generalized b-metric spaces to prove the existence of some unique common fixed-point results. To unify our results, we establish a supportive example for three self-mappings to show the uniqueness of a common...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematics (Hidawi) Vol. 2024; pp. 1 - 19
Main Authors Jaradat, Mohammed M. M., Ahmad, Abeeda, Rehman, Saif Ur, Muhammad Diaa, Nabaa, Jabeen, Shamoona, Haider, Muhammad Imran, Shamas, Iqra, Shlaka, Rawan A.
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 2024
Hindawi Limited
Wiley
Subjects
Integral equations
Mathematical analysis
Metric space
Theorems
Online AccessGet full text

Cover

More Information
Summary:In this paper, we study some generalized contraction conditions for three self-mappings on generalized b-metric spaces to prove the existence of some unique common fixed-point results. To unify our results, we establish a supportive example for three self-mappings to show the uniqueness of a common fixed point for a generalized contraction in the said space. In addition, we present a supportive application of nonlinear integral equations for the validation of our work. The concept presented in this paper will play an important role in the theory of fixed points in the context of generalized metric spaces with applications.
ISSN:2314-4629
2314-4785
DOI:10.1155/2024/8847058