On a new system of nonlinear variational inequalities and algorithms

S. S. Chang; Heung Wing Joseph Lee; Chi Kin Chan; Jong Kyu Kim

On a new system of nonlinear variational inequalities and algorithms

S. S. Chang
, Heung Wing Joseph Lee
, Chi Kin Chan
, Jong Kyu Kim

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

The purpose of this paper is to introduce and study the existence of solutions and approximation solvability for a class of new generalized nonlinear mixed variational inequalities in Hilbert spaces. An equivalence of this system of generalized nonlinear mixed variational inequalities on a closed convex cone to a system of nonlinear complementarity problems is also considered.

Original language	English
Pages (from-to)	119-130
Number of pages	12
Journal	Journal of Computational Analysis and Applications
Volume	11
Issue number	1
Publication status	Published - 1 Oct 2009

Keywords

A system of generalized nonlinear mixed variational inequalities
Fixed point
Mann iterative sequence

ASJC Scopus subject areas

Computational Mathematics

Cite this

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title = "On a new system of nonlinear variational inequalities and algorithms",

abstract = "The purpose of this paper is to introduce and study the existence of solutions and approximation solvability for a class of new generalized nonlinear mixed variational inequalities in Hilbert spaces. An equivalence of this system of generalized nonlinear mixed variational inequalities on a closed convex cone to a system of nonlinear complementarity problems is also considered.",

keywords = "A system of generalized nonlinear mixed variational inequalities, Fixed point, Mann iterative sequence",

author = "Chang, \{S. S.\} and Lee, \{Heung Wing Joseph\} and Chan, \{Chi Kin\} and Kim, \{Jong Kyu\}",

year = "2009",

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T1 - On a new system of nonlinear variational inequalities and algorithms

AU - Chang, S. S.

AU - Lee, Heung Wing Joseph

AU - Chan, Chi Kin

AU - Kim, Jong Kyu

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Y1 - 2009/10/1

N2 - The purpose of this paper is to introduce and study the existence of solutions and approximation solvability for a class of new generalized nonlinear mixed variational inequalities in Hilbert spaces. An equivalence of this system of generalized nonlinear mixed variational inequalities on a closed convex cone to a system of nonlinear complementarity problems is also considered.

AB - The purpose of this paper is to introduce and study the existence of solutions and approximation solvability for a class of new generalized nonlinear mixed variational inequalities in Hilbert spaces. An equivalence of this system of generalized nonlinear mixed variational inequalities on a closed convex cone to a system of nonlinear complementarity problems is also considered.

KW - A system of generalized nonlinear mixed variational inequalities

KW - Fixed point

KW - Mann iterative sequence

UR - https://www.scopus.com/pages/publications/70349451394

M3 - Journal article

SN - 1521-1398

VL - 11

SP - 119

EP - 130

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 1

ER -

On a new system of nonlinear variational inequalities and algorithms

Abstract

Keywords

ASJC Scopus subject areas

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Cite this