On the Monotone Mappings in CAT(0) Spaces

被引：0
|
作者：
Taba, Davood Afkhami [1 ]
Dehghan, Hossein [2 ]
机构：
[1] Islamic Azad Univ, Bandar Abbas Branch, Dept Math, POB 79158-93144, Bandar Abbas, Iran
[2] Inst Adv Studies Basic Sci IASBS, Dept Math, POB 45137-66731, Zanjan, Iran
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2020年 / 17卷 / 02期
关键词：
Monotone mapping; Nonexpansive mapping; Variational inequality; Fixed point; CAT(0) metric space; DELTA-CONVERGENCE THEOREMS; FIXED-POINTS;
D O I：
10.22130/scma.2019.69719.273
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces. Then, we give two new iterative methods by combining the resolvent method with Halpern's iterative method and viscosity approximation method for finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations in CAT(0) metric spaces.
引用
收藏
页码：107 / 117
页数：11
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