Some fixed point theorems for generalized enriched nonexpansive mappings in Banach spaces

被引：9

作者：

Shukla, Rahul ^{[1
]}

Panicker, Rekha ^{[1
]}

机构：

[1] Walter Sisulu Univ, Dept Math Sci & Comp, ZA-5117 Mthatha, South Africa

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 02期

关键词：

Nonexpansive mapping; Enriched nonexpansive mapping; Banach space; CONVERGENCE THEOREMS; SUCCESSIVE-APPROXIMATIONS; NONLINEAR OPERATORS; WEAK-CONVERGENCE;

D O I：

10.1007/s12215-021-00709-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new class of mappings, namely, generalized enriched nonexpansive mappings. Some examples are presented to ensure the existence of this class of mappings. We prove a number of weak and strong convergence theorems for Kirk iterative method in the setting of Banach spaces. These results are generalizations of the results in Berinde (Carpathian J Math 35(3):293-304, 2019) and Berinde (Carpathian J Math 36(1):27-34, 2020).

引用

页码：1087 / 1101

页数：15

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