INERTIAL HYBRID AND SHRINKING PROJECTION ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS

被引：0
|
作者：
Tan, Bing [1 ]
Xu, Shanshan [2 ]
Li, Songxiao [1 ]
机构：
[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 611731, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 10期
关键词：
Hierarchical variational inequality problem; shrinking projection; inertial Mann algorithm; nonexpansive mapping; strong convergence; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; POINT PROBLEM; NONLINEAR MAPPINGS; FINITE FAMILY; ZERO-POINT; EQUILIBRIUM; OPERATORS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose two inertial hybrid and shrinking projection algorithms for strict pseudo-contractions in Hilbert spaces and obtain strong theorems in general conditions. In addition, we also propose two new inertial hybrid and shrinking projection algorithms without extrapolating step for non-expansive mappings in Hilbert spaces and get strong convergence results. Finally, we give some numerical examples to illustrate the computational performance of our proposed algorithms.
引用
收藏
页码：2193 / 2206
页数：14
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