Year: 2025
Type: article
Abstract: This paper introduces a novel fixed-point theorem for integral-type contractions using generalized Omega-distance. Our findings broaden and unify multiple well-known results in the literature by weakening contraction requirements and integrating Lebesgue-integrable auxiliary functions. Additionally, we demonstrate the applicability of our theorem by proving the existence and uniqueness of solutions for a class of nonlinear functional equations under minimal assumptions.
Source: Gulf Journal of Mathematics
Authors: Mutaz Shatnawi, Anwar Bataihah
Institutions: Irbid National University, Jadara University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413301547