On Enriched Suzuki Nonexpansive Mappings in P-Uniformly Convex Metric Spaces

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DOI: https://doi.org/10.28924/2291-8639-23-2025-242
Published: Oct 8, 2025
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K. O. Aremu, A. O. Ayigoro, M. S. Abubakar, On Enriched Suzuki Nonexpansive Mappings in P-Uniformly Convex Metric Spaces, Int. J. Anal. Appl., 23 (2025), 242.

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K. O. Aremu, A. O. Ayigoro, M. S. Abubakar

Abstract

This paper introduces and defines the concept of enriched Suzuki nonexpansive mappings T in p-uniformly convex metric spaces, thereby extending earlier results established in Hadamard spaces. We show that the τ-averaged mapping Tτ preserves the fixed points of T. In addition, we prove that Tτ is quasi-nonexpansive and that the sequence generated by the Mann iteration converges to a fixed point of both T and its averaged counterpart Tτ. We further establish both ∆-convergence and strong convergence of the Mann iteration sequence for the τ-averaged mapping. Additionally, we present an illustrative example of an enriched Suzuki nonexpansive mapping within p-uniformly convex metric spaces.

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