Convergence Analysis of HA-Iteration for Enriched Nonexpan--sive Mappings in Banach Space Settings
Keywords:
Enriched nonexpansiveness; HA-iteration; condition (I); Opial’s condition; Banach spaceAbstract
This paper analyzes the three-step HA-iteration scheme for enriched nonexpansive mappings. We establish weak convergence via Opial’s condition and prove strong convergence under varying domain and mapping assumptions. A numerical example demonstrates that the HA-iteration converges more effectively than existing schemes for enriched non-expansive mappings that are not classically nonexpansive. These results extend current literature and highlight the efficiency of the proposed method.
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Copyright (c) 2026 Samra Asjad , Hanif Ullah, Mubashar Arshad, Evren Hincal , Ikram Ullah (Author)
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