The General Intermixed Iteration for Equilibrium Problems and Variational Inequality Problems in Hilbert Spaces

被引：0

作者：

Suwannaut, Sarawut ^{[1
]}

机构：

[1] Lampang Rajabhat Univ, Fac Sci, Dept Math, Lampang, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 03期

关键词：

equilibrium problem; variational inequality problem; fixed point; intermixed iteration; WEAK-CONVERGENCE THEOREMS; FIXED-POINT PROBLEMS; MAPPINGS; APPROXIMATION; FAMILY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the general intermixed iteration for two nonlinear mappings is introduced. A strong convergence theorem for approximating a common solution of two finite families of equilibrium problems and variational inequality problems in a Hilbert space is proved. Furthermore, a numerical example for main theorem is given to support the result.

引用

页码：1497 / 1518

页数：22

共 50 条

[21] Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces
Yao, Yonghong
Liou, Yeong-Cheng
Chen, Rudong
[J]. MATHEMATISCHE NACHRICHTEN, 2009, 282 (12) : 1827 - 1835
[22] Characterizations of the existence of solutions for variational inequality problems in Hilbert spaces
Carlos Alberto Hernández-Linares
Eduardo Martínez-Anteo
Omar Muñiz-Pérez
[J]. Journal of Fixed Point Theory and Applications, 2023, 25
[23] Inertial hybrid algorithm for variational inequality problems in Hilbert spaces
Tian, Ming
Jiang, Bing-Nan
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
[24] Inertial hybrid algorithm for variational inequality problems in Hilbert spaces
Ming Tian
Bing-Nan Jiang
[J]. Journal of Inequalities and Applications, 2020
[25] Characterizations of the existence of solutions for variational inequality problems in Hilbert spaces
Alberto Hernandez-Linares, Carlos
Martinez-Anteo, Eduardo
Muniz-Perez, Omar
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2023, 25 (03)
[26] An Iterative Method for Equilibrium, Variational Inequality, and Fixed Point Problems for a Nonexpansive Semigroup in Hilbert Spaces
Nguyen Thi Thu Thuy
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 113 - 130
[27] An Iterative Method for Equilibrium, Variational Inequality, and Fixed Point Problems for a Nonexpansive Semigroup in Hilbert Spaces
Nguyen Thi Thu Thuy
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (01) : 113 - 130
[28] SPLIT COMMON FIXED POINT PROBLEMS AND HIERARCHICAL VARIATIONAL INEQUALITY PROBLEMS IN HILBERT SPACES
Takahashi, Wataru
Wen, Ching-Feng
Yao, Jen-Chih
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (05) : 777 - 797
[29] An Iteration Method for Common Solution of a System of Equilibrium Problems in Hilbert Spaces
Kim, Jong Kyu
Nguyen Buong
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[30] An Iteration Method for Common Solution of a System of Equilibrium Problems in Hilbert Spaces
Jong Kyu Kim
Nguyen Buong
[J]. Fixed Point Theory and Applications, 2011

← 1 2 3 4 5 →