Fixed Point Approximation for Enriched Suzuki Nonexpansive Mappings in Banach Spaces

Guardado en:

書目詳細資料
發表在:	Axioms vol. 14, no. 6 (2025), p. 426
主要作者:	Filali Doaa
其他作者:	Alamrani Fahad Maqbul, Esmail, Alshaban, Alatawi Adel, Alanazi, Amid Yousef, Khan, Faizan Ahmad
出版:	MDPI AG
主題:	Approximation Methods Quantum field theory Banach spaces Convergence Feasibility Graphical representations Iterative methods Hilbert space Fixed points (mathematics) Enrichment
在線閱讀:	Citation/Abstract Full Text + Graphics Full Text - PDF
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!

實物特徵
Resumen:	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
Fuente:	Engineering Database