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.
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页数：14
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