Existence and Iterative Algorithms of Solutions for Generalized Mixed Quasi-Variational Inequalities

Luo Chunlin

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(9): 969-976

Luo Chunlin. Existence and Iterative Algorithms of Solutions for Generalized Mixed Quasi-Variational Inequalities[J]. Applied Mathematics and Mechanics, 1999, 20(9): 969-976.

Citation:

Luo Chunlin. Existence and Iterative Algorithms of Solutions for Generalized Mixed Quasi-Variational Inequalities[J]. Applied Mathematics and Mechanics, 1999, 20(9): 969-976.

Citation:

Luo Chunlin. Existence and Iterative Algorithms of Solutions for Generalized Mixed Quasi-Variational Inequalities[J]. Applied Mathematics and Mechanics, 1999, 20(9): 969-976.

PDF( 311 KB)

Existence and Iterative Algorithms of Solutions for Generalized Mixed Quasi-Variational Inequalities

Luo Chunlin

Department of Mathematics, Kangding Teacher's College, Kangding, Sichuan 626001, P R China

Received Date: 1998-07-02
Rev Recd Date: 1999-03-20
Publish Date: 1999-09-15

Abstract

Abstract

In this paper,by using the auxiliary technique of variational inequalities,the existence and iterative algorithms of solutions for a class of generalized mixed quasi-variational inequalities are studied.Our results answer the open problems mentioned by Noor,improve and generalize some recent known results.
- generalized mixed quasi-variational inequalities,
- strongly monotone,
- Lipschitz continuous,
- Hausdorff metric

FullText(HTML)

References(13)

References

[1]	Noor M A.General algorithm for variational inequalities[J].Math Japonica,1993,38(1):47~53.
[2]	Noor M A,Noor K I.Iterative methods for variational inequalities[J].Methods Oper Res,1979,31:455~463.
[3]	Noor M A.An iterative scheme for a class of quasi-variational inequalities[J].J Math Anal Appl,1985,110:463~468.
[4]	Noor M A.General nonlinear variational inequalities[J].J Math Anal Appl,1987,126:78~84.
[5]	Glowinski R,Lions J L,Tremolieres R.Numerical Analysis of Variational Inequatities[M].Amsterdam:North-Holland,1981.
[6]	Noor M A.Mixed variational inequalities[J].Appl Math Lett,1990,3(2):73~75.
[7]	Noor M A.An iterative algorithm for nonlinear variational inequalities[J].Appl Math Lett,1992,5(4):11~14.
[8]	Cohen G.Auxiliary problem extended to variational inequalities[J].J Optim Theor Appl,1988,59:325~333.
[9]	Siddiqi A H,Ansari Q H.Strongly nonlinear quasi-variational inequalities[J].J Math Anal Appl,1990,149:444~450.
[10]	Ding Xieping.Generalized strongly nonlinear quasi-variational inequalities[J].J Math Anal Appl,1993,173(2):577~587.
[11]	张石生.不动点理论及应用[M].重庆:重庆出版社,1984.
[12]	张石生.变分不等式和相补问题理论及应用[M].上海:上海科学技术文献出版社,1991.
[13]	Nadler S B,Jr.Multi-valued contraction mapping[J],Pacific J Math,1969,30:475~488.