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

页码：2193 / 2206

页数：14

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