Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces

被引：2

作者：

Liu, Lishan ^{[1
,2
]}

Liu, Chun ^{[1
]}

Wang, Fang ^{[1
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Asymptotically nonexpansive semigroups; variational inequality; strong convergence; reflexive and strictly convex Banach spaces; fixed point; VARIATIONAL INEQUALITY PROBLEMS; VISCOSITY APPROXIMATION METHODS; FIXED-POINT PROBLEMS; MIXED EQUILIBRIUM PROBLEMS; HILBERT-SPACES; MAPPINGS; THEOREMS; MANN; ISHIKAWA; SCHEME;

D O I：

10.22436/jnsa.009.10.15

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a general iterative process strongly converging to a common fixed point of an asymptotically nonexpansive semigroup {T(t) : t is an element of R+} in the framework of reflexive and strictly convex spaces with a uniformly Gateaux differentiable norm. The process also solves some variational inequalities. Our results generalize and extend many existing results in the research field. (C) 2016 All rights reserved.

引用

页码：5695 / 5711

页数：17

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