Relaxed extragradient iterative methods for variational inequalities

Lu Chuan Ceng; Qamrul Hasan Ansari; Jen Chih Yao

doi:10.1016/j.amc.2011.01.061

Relaxed extragradient iterative methods for variational inequalities

Lu Chuan Ceng
, Qamrul Hasan Ansari
, Jen Chih Yao^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

In this paper, we suggest and analyze some new relaxed extragradient iterative methods for finding a common element of the solution set of a variational inequality, the solution set of a general system of variational inequalities and the set of fixed points of a strictly pseudo-contractive mapping defined on a real Hilbert space. Strong convergence of the proposed methods under some mild conditions is established.

Original language	English
Pages (from-to)	1112-1123
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	218
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2011.01.061
State	Published - 1 Oct 2011
Externally published	Yes

Keywords

General system of variational inequalities
Inverse-strongly monotone mapping
Relaxed extragradient iterative method
Strictly pseudo-contractive mapping
Variational inequalities

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2011.01.061

Cite this

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title = "Relaxed extragradient iterative methods for variational inequalities",

abstract = "In this paper, we suggest and analyze some new relaxed extragradient iterative methods for finding a common element of the solution set of a variational inequality, the solution set of a general system of variational inequalities and the set of fixed points of a strictly pseudo-contractive mapping defined on a real Hilbert space. Strong convergence of the proposed methods under some mild conditions is established.",

keywords = "General system of variational inequalities, Inverse-strongly monotone mapping, Relaxed extragradient iterative method, Strictly pseudo-contractive mapping, Variational inequalities",

author = "Ceng, \{Lu Chuan\} and Ansari, \{Qamrul Hasan\} and Yao, \{Jen Chih\}",

year = "2011",

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AU - Ceng, Lu Chuan

AU - Ansari, Qamrul Hasan

AU - Yao, Jen Chih

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Y1 - 2011/10/1

N2 - In this paper, we suggest and analyze some new relaxed extragradient iterative methods for finding a common element of the solution set of a variational inequality, the solution set of a general system of variational inequalities and the set of fixed points of a strictly pseudo-contractive mapping defined on a real Hilbert space. Strong convergence of the proposed methods under some mild conditions is established.

AB - In this paper, we suggest and analyze some new relaxed extragradient iterative methods for finding a common element of the solution set of a variational inequality, the solution set of a general system of variational inequalities and the set of fixed points of a strictly pseudo-contractive mapping defined on a real Hilbert space. Strong convergence of the proposed methods under some mild conditions is established.

KW - General system of variational inequalities

KW - Inverse-strongly monotone mapping

KW - Relaxed extragradient iterative method

KW - Strictly pseudo-contractive mapping

KW - Variational inequalities

UR - https://www.scopus.com/pages/publications/80052266835

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M3 - Article

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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ER -

Relaxed extragradient iterative methods for variational inequalities

Abstract

Keywords

ASJC Scopus subject areas

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