On stationary and nonstationary iterative methods for nonexpansive type mappings in Banach spaces

被引：0
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作者：
Rahul Shukla
Rajendra Pant
Adrian Petruşel
机构：
[1] Walter Sisulu University,Department of Mathematical Sciences and Computing
[2] University of Johannesburg,Department of Mathematics & Applied Mathematics
[3] Babeş-Bolyai University,Department of Mathematics
[4] Academy of Romanian Scientists,undefined
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2023年 / 117卷
关键词：
Nonexpnasive mapping; Nonstationary method; Banach space; Primary 47H10; 47H09; 47J25; 47J26; 46B20;
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摘要：
In this paper, we study stationary and nonstationary methods to approximate fixed points of a general class of nonexpansive type mappings in Banach spaces under certain conditions. We obtain weak convergence of a sequence of iterates of nonexpansive type mappings. We also present a stability result for nonstationary methods. We obtain data dependency analysis of the nonstationary methods. Moreover, we present a numerical example to demonstrate the convergence behaviour of the nonstationary methods. Finally, we pose an open problem.
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