Convergence Theorems for Two \(\phi\)-Nonexpansive Mappings in Banach Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-310
Published: Oct 5, 2026
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Konvika Kongkul, Chantawan Noisri, Preedaporn Kanjanasamranwong, Siwaporn Saewan, Convergence Theorems for Two \(\phi\)-Nonexpansive Mappings in Banach Spaces, Int. J. Anal. Appl., 24 (2026), 310.

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Konvika Kongkul, Chantawan Noisri, Preedaporn Kanjanasamranwong, Siwaporn Saewan

Abstract

Our purpose in this work is to introduce a new iterative scheme for finding the set of common fixed points of two \(\phi\)-nonexpansive mappings in uniformly smooth and uniformly convex Banach spaces by using the concept of sunny generalized nonexpansive retractions. Moreover, weak and strong convergence theorems of the proposed iterative scheme are established under suitable conditions.

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