Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces

Elvin Rada

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arXiv · 2601.07837

Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces

Elvin Rada

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Abstract

We propose and analyze a multi-inertial-iteration scheme in cone b, p-normed Banach spaces. This framework extends the classical Krasnoselskii-Mann and two-step inertial iterations by incorporating three independent inertial parameters and multiple error-control sequences. Under mild assumptions such as quasi-nonexpansiveness, weak contraction, and compatibility of mappings, we establish convergence theorems guaranteeing the existence and uniqueness of fixed points. Illustrative numerical examples demonstrate accelerated convergence compared with the classical Krasnoselskii-Mann method.

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BibTeX RIS

Elvin Rada. 2025-10-31. Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces. https://arxiv.org/abs/2601.07837

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