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

共 50 条

[1] INERTIAL SHRINKING PROJECTION ALGORITHMS FOR SOLVING HIERARCHICAL VARIATIONAL INEQUALITY PROBLEMS
Tan, Bing
Xu, Shanshan
Li, Songxiao
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (04) : 871 - 884
[2] Relaxation inertial projection algorithms for solving monotone variational inequality problems
Zhang, Yan
Yang, Denglian
Zhang, Yongle
PACIFIC JOURNAL OF OPTIMIZATION, 2023, 19 (03): : 507 - 528
[3] Modified Inertial Hybrid and Shrinking Projection Algorithms for Solving Fixed Point Problems
Tan, Bing
Xu, Shanshan
Li, Songxiao
MATHEMATICS, 2020, 8 (02)
[4] Inertial Algorithms for Solving Nonmonotone Variational Inequality Problems
Tuyen, Bien Thanh
Manh, Hy Duc
Van Dinh, Bui
TAIWANESE JOURNAL OF MATHEMATICS, 2024, 28 (02): : 397 - 421
[5] Hybrid Alternated Inertial Projection and Contraction Algorithm for Solving Bilevel Variational Inequality Problems
Abuchu, Jacob Ashiwere
Ofem, Austine Efut
Ugwunnadi, Godwin Chidi
Narain, Ojen Kumar
Hussain, Azhar
JOURNAL OF MATHEMATICS, 2023, 2023
[6] Accelerated hybrid and shrinking projection methods for variational inequality problems
Thong Duong Viet
Nguyen The Vinh
Dang Van Hieu
OPTIMIZATION, 2019, 68 (05) : 981 - 998
[7] SELF-ADAPTIVE INERTIAL SHRINKING PROJECTION ALGORITHMS FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES
Tan, Bing
Cho, Sun Young
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (03) : 613 - 627
[8] The Shrinking Projection Method for Solving Variational Inequality Problems and Fixed Point Problems in Banach Spaces
Wangkeeree, Rabian
Wangkeeree, Rattanaporn
ABSTRACT AND APPLIED ANALYSIS, 2009,
[9] Effect of shrinking projection and CQ-methods on two inertial forward–backward algorithms for solving variational inclusion problems
Truong Minh Tuyen
Hasanen A. Hammad
Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 1669 - 1683
[10] An inertial projection and contraction method for solving bilevel quasimonotone variational inequality problems
Abuchu, J. A.
Ugwunnadi, G. C.
Narain, O. K.
JOURNAL OF ANALYSIS, 2023, 31 (04): : 2915 - 2942

← 1 2 3 4 5 →