Convergence of general composite iterative method for infinite family of nonexpansive mappings in Hilbert spaces

2013/08/16 by Vahid Darvish, Darvish, Vahid, S. M. Vaezpour +1
Computer Science · Mathematics · #47H05 #47H10 #47J05 #47J25 #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1308.3561

openalex publication_date 2013/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper by using W_n-mapping, we introduce a composite iterative method for finding a common fixed point for infinite family of nonexpansive mappings and a solution of a certain variational inequality. Furthermore, the strong convergence of the proposed iterative method is established. Finally, some simulation examples are presented. Our results improve and extend the previous results.

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