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Fixed Point Approximation for Enriched Suzuki Nonexpansive Mappings in Banach Spaces

Gorde:
Argitaratua izan da:Axioms vol. 14, no. 6 (2025), p. 426
Egile nagusia: Filali Doaa
Beste egile batzuk: Alamrani Fahad Maqbul, Esmail, Alshaban, Alatawi Adel, Alanazi, Amid Yousef, Khan, Faizan Ahmad
Argitaratua:
MDPI AG
Gaiak:
Approximation
Methods
Quantum field theory
Banach spaces
Convergence
Feasibility
Graphical representations
Iterative methods
Hilbert space
Fixed points (mathematics)
Enrichment
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Laburpena:This paper investigates the approximation of fixed points for mappings that satisfy the enriched (C) condition using a modified iterative process in a Banach space framework. We first establish a weak convergence result and then derive strong convergence theorems under suitable assumptions. To illustrate the applicability of our findings, we present a numerical example involving mappings that satisfy the enriched (C) condition but not the standard (C) condition. Additionally, numerical computations and graphical representations demonstrate that the proposed iterative process achieves a faster convergence rate compared to several existing methods. As a practical application, we introduce a projection based an iterative process for solving split feasibility problems (SFPs) in a Hilbert space setting. Our findings contribute to the ongoing development of iterative processes for solving optimization and feasibility problems in mathematical and applied sciences.
ISSN:2075-1680
DOI:10.3390/axioms14060426
Baliabidea:Engineering Database