Parallel Hybrid Iterative Methods for Variational Inequalities, Equilibrium Problems, and Common Fixed Point Problems

被引：54

作者：

Anh P.K. ^{[1
]}

Van Hieu D. ^{[1
]}

机构：

[1] Hanoi University of Science, Vietnam National University, 334 Nguyen Trai, Hanoi, Thanh Xuan

来源：

Vietnam Journal of Mathematics | 2016年 / 44卷 / 2期

关键词：

Asymptotically quasi ϕ-nonexpansive mapping; Equilibrium problem; Hybrid method; Parallel computation; Variational inequality;

D O I：

10.1007/s10013-015-0129-z

中图分类号：

学科分类号：

摘要：

In this paper, we propose two strongly convergent parallel hybrid iterative methods for finding a common element of the set of fixed points of a family of asymptotically quasi ϕ-nonexpansive mappings, the set of solutions of variational inequalities and the set of solutions of equilibrium problems in uniformly smooth and 2-uniformly convex Banach spaces. A numerical experiment is given to verify the efficiency of the proposed parallel algorithms. © 2015, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.

引用

页码：351 / 374

页数：23

共 50 条

[21] Monotone variational inequalities, generalized equilibrium problems and fixed point methods
Wang, Shenghua
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[22] Monotone variational inequalities, generalized equilibrium problems and fixed point methods
Shenghua Wang
[J]. Fixed Point Theory and Applications, 2014
[23] Modified hybrid iterative methods for generalized mixed equilibrium, variational inequality and fixed point problems
Jung, Jong Soo
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3732 - 3754
[24] A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces
Cholamjiak, Prasit
[J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
[25] A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces
Prasit Cholamjiak
[J]. Fixed Point Theory and Applications, 2009
[26] An iterative method for equilibrium problems, variational inequality problems and fixed point problems
Yang Xue
[J]. ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION, VOL 1: ENGINEERING COMPUTATION AND FINITE ELEMENT ANALYSIS, 2010, : 69 - 74
[27] A new iterative algorithm of solution for equilibrium problems, variational inequalities and fixed point problems in a Hilbert space
Katchang P.
Kumam P.
[J]. Journal of Applied Mathematics and Computing, 2010, 32 (1) : 19 - 38
[28] Novel Hybrid Methods for Pseudomonotone Equilibrium Problems and Common Fixed Point Problems
Thuy, L. Q.
Anh, P. K.
Muu, L. D.
Hai, T. N.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (04) : 443 - 465
[29] Hybrid algorithms of nonexpansive semigroups for mixed equilibrium problems, variational inequalities, and fixed point problems
Jiang, Qiaohong
Wang, Jinghai
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[30] Hybrid algorithms of nonexpansive semigroups for mixed equilibrium problems, variational inequalities, and fixed point problems
Qiaohong Jiang
Jinghai Wang
[J]. Journal of Inequalities and Applications, 2014

← 1 2 3 4 5 →