A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces

被引：2

作者：

Wang, Chao ^{[1
,2
]}

Fan, Honglei ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Ctr Appl Math Jiangsu Prov, Nanjing 210044, Peoples R China

来源：

JOURNAL OF MATHEMATICAL STUDY | 2022年 / 55卷 / 04期

关键词：

Common fixed point; a pair of generalized nonexpansive mappings; Krasnoselskii type iterative algorithm; uniformly convex metric spaces; NONLINEAR MAPPINGS; APPROXIMATION;

D O I：

10.4208/jms.v55n4.22.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In uniformly convex metric spaces, we study the existence and uniqueness of a common fixed point for a pair of generalized nonexpansive mappings with some weak conditions. Meanwhile, we introduce a new Krasnoselskii type iterative algorithm for approximating the common fixed point. A numerical example is also given to demonstrate the main result. Our results generalize and improve some recent corresponding results.

引用

页码：432 / 444

页数：13

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