Δ-convergence theorems for multi-valued nonexpansive mappings in hyperbolic spaces

被引：20

作者：

Chang, Shih-sen ^{[1
]}

Wang, Gang ^{[1
]}

Wang, Lin ^{[1
]}

Tang, Yong Kun ^{[1
]}

Ma, Zhao Li ^{[2
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

[2] Yunnan Normal Univ, Coll Arts & Sci, Sch Informat Engn, Kunming 650222, Yunnan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 249卷

基金：

中国国家自然科学基金;

关键词：

Hyperbolic space; Multi-valued nonexpansive mapping; Common fixed point; Delta-convergence theorem; FIXED-POINTS; ITERATIVE CONSTRUCTION; CAT(0) SPACES; WEAK;

D O I：

10.1016/j.amc.2014.10.076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce the mixed Agarwal-O'Regan-Sahu type iterative scheme (Agarwal et al., 2007) for finding a common fixed point of the multi-valued nonexpansive mappings in the setting of hyperbolic spaces. Under suitable conditions, some Delta-convergence theorems of the iterative sequence generated by the proposed scheme to approximate a common fixed point of multi-valued nonexpansive mappings are proved. The results presented in the paper extend and improve some recent results announced in the current literature. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：535 / 540

页数：6

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