A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces

被引：2

作者：

Chang, Shih-sen ^{[1
]}

Yao, Jen-Chih ^{[1
]}

Wen, Ching-Feng ^{[2
,3
,4
]}

Wang, Lin ^{[5
]}

机构：

[1] China Med Univ, Ctr Gen Educ, Taichung, Taiwan

[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung, Taiwan

[3] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung, Taiwan

[4] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung, Taiwan

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Hadamard space; CAT(0) space; Viscosity implicit approximation methods; Monotone mapping; Proximal point algorithm; FIXED-POINTS; CONVERGENCE; CURVATURE; OPERATORS;

D O I：

10.1186/s13660-018-1825-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically nonexpansive mapping in Hadamard spaces. Under suitable conditions, some strong convergence theorems of the proposed algorithms to such a common solution are proved. Our results extend and complement some recent results in this direction.

引用

页数：14

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