Convergence of an explicit scheme for nonexpansive semigroups in Banach spaces

被引：2

作者：

Wen, Meng ^{[1
]}

Hu, Changsong ^{[2
]}

Cui, Angang ^{[3
]}

Peng, Jigen ^{[4
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China

[2] Hubei Normal Univ, Dept Math, Huangshi 435002, Hubei, Peoples R China

[3] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[4] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2019年 / 21卷 / 02期

基金：

中国国家自然科学基金;

关键词：

MKC; nonexpansive semigroup; fixed point; variational inequality; Banach space; FIXED-POINT; RETRACTIONS; CONSTRUCTION;

D O I：

10.1007/s11784-019-0688-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we introduce a composite iterative scheme with Meir-Keeler contractions for nonexpansive semigroups in a q-uniformly smooth and strictly convex Banach space which admits a weakly sequentially continuous duality mapping. We also prove strong convergence theorems for the composite iterative schemes. Our results improve and extend several recent results.

引用

页数：13

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