Nonlinear Integral Equations via Ω-Distance Fixed Points in G-b-Metric Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-84
Published: Mar 19, 2026
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K. Dinesh, Sidite Duraj, Kastriot Zoto, Nonlinear Integral Equations via Ω-Distance Fixed Points in G-b-Metric Spaces, Int. J. Anal. Appl., 24 (2026), 84.

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K. Dinesh, Sidite Duraj, Kastriot Zoto

Abstract

In this paper, we investigate fixed point results for nonlinear contraction mappings defined via an Ω-distance in complete G-b-metric spaces. This approach unifies and extends several classical contraction principles formulated in metric, b-metric, and G-metric settings. By employing suitable contractive inequalities involving Ω-distance, we establish existence and uniqueness results for fixed points under mild assumptions. The obtained theorems generalize and improve a number of recent results in the literature. As an application, we illustrate the usefulness of the developed theory by studying the solvability of a class of nonlinear integral equations.

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