Weak and strong convergence of an implicit iterative process with errors\n for a finite family of asymptotically quasi I-nonexpansive mappings in\n Banach space

2010/10/15 by Farrukh Mukhamedov, Mukhamedov, Farrukh, Mansoor Saburov +1
Computer Science · Mathematics · #46B20 #47H09 #47H10 #Classical Analysis and ODEs (math.CA) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Numerical Analysis (math.NA) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1010.3089

openalex publication_date 2010/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the weak and strong convergence of the implicit\niterative process with errors to a common fixed point of a finite family\n T_{j i=1}^N of asymptotically quasi I_j-nonexpansive mappings as well\nas a family of I_{j j=1}^N of asymptotically quasi nonexpansive mappings\nin the framework of Banach spaces.\n

Citations

• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings

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