Common Fixed Point Theorems for Asymptotically Quasi G-φ-Nonexpansive Mappings

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DOI: https://doi.org/10.28924/2291-8639-24-2026-187
Published: Jun 22, 2026
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Preedaporn Kanjanasamranwong, Konvika Kongkul, Chantawan Noisri, Siwaporn Saewan, Common Fixed Point Theorems for Asymptotically Quasi G-φ-Nonexpansive Mappings, Int. J. Anal. Appl., 24 (2026), 187.

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Preedaporn Kanjanasamranwong, Konvika Kongkul, Chantawan Noisri, Siwaporn Saewan

Abstract

In this research, we propose an iterative algorithm for approximating fixed points of asymptotically quasi G-φ-nonexpansive mappings in uniformly smooth and uniformly convex Banach spaces. We establish sufficient conditions for the existence of fixed points of these mappings. Furthermore, we prove the convergence of the sequence generated by the proposed iterative algorithm.

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