Fixed Point Approximation for Enriched Suzuki Nonexpansive Mappings in Banach Spaces

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التفاصيل البيبلوغرافية
الحاوية / القاعدة:	Axioms vol. 14, no. 6 (2025), p. 426
المؤلف الرئيسي:	Filali Doaa
مؤلفون آخرون:	Alamrani Fahad Maqbul, Esmail, Alshaban, Alatawi Adel, Alanazi, Amid Yousef, Khan, Faizan Ahmad
منشور في:	MDPI AG
الموضوعات:	Approximation Methods Quantum field theory Banach spaces Convergence Feasibility Graphical representations Iterative methods Hilbert space Fixed points (mathematics) Enrichment
الوصول للمادة أونلاين:	Citation/Abstract Full Text + Graphics Full Text - PDF
الوسوم:	إضافة وسم لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!

الوصف
مستخلص:	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.
تدمد:	2075-1680
DOI:	10.3390/axioms14060426
المصدر:	Engineering Database