Convergence analysis of an iterative algorithm for generalized nonexpansive mappings in Hadamard manifolds

Muhammad Khan; Mujahid Abbas; Cristian Ciobanescu

doi:10.2478/auom-2026-0021

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Convergence analysis of an iterative algorithm for generalized nonexpansive mappings in Hadamard manifolds

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 34 (2026): Issue 2 (July 2026)

By: Muhammad Khan, Mujahid Abbas and Cristian Ciobanescu

Open Access

|Jul 2026

Abstract

This paper presents a novel iterative scheme for approximating fixed points of generalized nonexpansive mappings in Hadamard manifolds. Under mild and standard conditions on the control parameters, we establish comprehensive convergence results for the algorithm. We further introduce an iterative framework for addressing inclusion problems associated with these mappings. Numerical experiments are included to highlight the efficiency and improved performance of the proposed method relative to existing algorithms.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2026-0021 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 89 - 110

Submitted on: Nov 26, 2025

Accepted on: Jan 31, 2026

Published on: Jul 11, 2026

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

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© 2026 Muhammad Khan, Mujahid Abbas, Cristian Ciobanescu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 34 (2026): Issue 2 (July 2026)