Work

Fixed Points for Generalized Contractions in $b$-Gauge Spaces and Applications

Year: 2025

Type: article

Abstract: In this work, we extend and generalize, the concept of $\alpha$-$\Psi$ contraction mappings in the setting of b-gauge spaces, where a new aspect of extension has been added . Subsequently, we give some related fixed point results that generalize many existing ones in the literature on this topic. Some of their applications to nonlinear integral equations on unbounded domains, including fractional differential equations with maxima, are also presented.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v18i2.5958

Authors: Khadidja Nisse, Haitham Qawaqneh, Gawhara Al-Musannef, Habes Alsamir, Said Beloul

Institutions: University of Eloued, Al-Zaytoonah University of Jordan, Arab Open University, Dar Al Uloom University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: University of Jordan, Al-Zaytoonah University of Jordan

OpenAlex ID: W4410003085

FWCI: 1.865

Cites:

Cited by: 1

Related to: 10