Viscosity Iterative Schemes for Finding Split Common Solutions of Variational Inequalities and Fixed Point Problems

被引：4

作者：

He, Zhenhua ^{[2
]}

Du, Wei-Shih ^{[1
]}

机构：

[1] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 824, Taiwan

[2] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; EQUILIBRIUM PROBLEMS; OPTIMIZATION; SYSTEMS; SPACES;

D O I：

10.1155/2012/470354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce some new iterative schemes based on viscosity approximation method for finding a split common element of the solution set of a pair of simultaneous variational inequalities for inverse strongly monotone mappings in real Hilbert spaces with a family of infinitely nonexpansive mappings. Some strong convergence theorems are also given. Our results generalize and improve some well-known results in the literature and references therein.

引用

下载

页数：25

共 50 条

[11] Iterative methods for triple hierarchical variational inequalities and common fixed point problems
DR Sahu
Shin Min Kang
Vidya Sagar
Satyendra Kumar
Fixed Point Theory and Applications, 2014
[12] COMMON SOLUTIONS TO SOME SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS
Djafari-Rouhani, B.
Kazmi, K. R.
Farid, Mohd.
FIXED POINT THEORY, 2017, 18 (01): : 167 - 190
[13] An efficient iterative method for finding common fixed point and variational inequalities in Hilbert spaces
Gibali, Aviv
Shehu, Yekini
OPTIMIZATION, 2019, 68 (01) : 13 - 32
[14] ITERATIVE ALGORITHMS FOR THE COMPUTATION OF SOLUTIONS OF SPLIT FIXED POINT PROBLEMS AND VARIATIONAL INCLUSION PROBLEMS
Zhao, Xiaopeng
Qi, Min
Zhao, Yufei
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (05) : 1141 - 1154
[15] An iterative method for finding common solutions of equilibrium and fixed point problems
Colao, Vittorio
Marino, Giuseppe
Xu, Hong-Kun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) : 340 - 352
[16] Fixed Point Iterative Schemes for Variational Inequality Problems
Toscano, Elena
Vetro, Calogero
JOURNAL OF CONVEX ANALYSIS, 2018, 25 (02) : 701 - 715
[17] A Viscosity Approximation Method for Finding Common Solutions of Variational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces
Somyot Plubtieng
Wanna Sriprad
Fixed Point Theory and Applications, 2009
[18] A Viscosity Approximation Method for Finding Common Solutions of Variational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces
Plubtieng, Somyot
Sriprad, Wanna
FIXED POINT THEORY AND APPLICATIONS, 2009,
[19] Parallel Hybrid Iterative Methods for Variational Inequalities, Equilibrium Problems, and Common Fixed Point Problems
Anh P.K.
Van Hieu D.
Vietnam Journal of Mathematics, 2016, 44 (2) : 351 - 374
[20] Common Solutions of an Iterative Scheme for Variational Inclusions, Equilibrium Problems, and Fixed Point Problems
Peng, Jian-Wen
Wang, Yan
Shyu, David S.
Yao, Jen-Chih
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)

← 1 2 3 4 5 →