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.
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页数：13
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