Skip to main content
Log in

Existence and iterative algorithms of solutions for generalized mixed quasi-variational inequalities

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Noor M A. General algorithm for variational inequalities[J].Math Japonica, 1993,38 (1): 47–53.

    MATH  MathSciNet  Google Scholar 

  2. Noor M A, Noor K I. Iterative methods for variational inequalities[J].Methods Oper Res, 1979,31: 455–463.

    MATH  MathSciNet  Google Scholar 

  3. Noor M A. An iterative scheme for a class of quasi-variational inequalities[J].J Math Anal Appl, 1985,110: 463–468.

    Article  MATH  MathSciNet  Google Scholar 

  4. Noor M A. General nonlinear variational inequalities[J].J Math Anal Appl, 1987,126: 78–84.

    Article  MATH  MathSciNet  Google Scholar 

  5. Glowinski R, Lions J L, Tremolieres R.Numerical Analysis of Variational Inequatities [M]. Amsterdam: North-Holland, 1981.

    Google Scholar 

  6. Noor M A. Mixed variational inequalities[J].Appl Math Lett, 1990,3(2): 73–75.

    Article  MATH  MathSciNet  Google Scholar 

  7. Noor M A. An iterative algorithm for nonlinear variational inequalities[J].Appl Math Lett, 1992,5(4): 11–14.

    Article  MATH  MathSciNet  Google Scholar 

  8. Cohen G. Auxiliary problem extended to variational inequalities[J].J Optim Theor Appl, 1988,59: 325–333.

    Article  MATH  Google Scholar 

  9. Siddiqi A H, Ansari Q H. Strongly nonlinear quasi-variational inequalities[J].J Math Anal Appl, 1990,149: 444–450.

    Article  MATH  MathSciNet  Google Scholar 

  10. Ding Xieping. Generalized strongly nonlinear quasi-variational inequalities[J].J Math Anal Appl, 1993,173(2): 577–587.

    Article  MathSciNet  Google Scholar 

  11. Zhang Shisheng. Fixed Point Theory With Applications[M]. Chongqing: Chongqing Press, 1984 (in Chinese)

    Google Scholar 

  12. Zhang Shisheng,Variational Inequalities and Complementarity Problem Theory With Applications [M]. Shanghai: Shanghai Science Technical Document Press, 1991. (in Chinese)

    Google Scholar 

  13. Nadler S B, Jr. Multi-valued contraction mapping[J],Pacific J Math, 1969,30:475–488.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Ding Xieping

Foundation item: the Natural Science Foundation of Sichuan Education Committee (1988-142)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chunlin, L. Existence and iterative algorithms of solutions for generalized mixed quasi-variational inequalities. Appl Math Mech 20, 1038–1045 (1999). https://doi.org/10.1007/BF02459068

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02459068

Key words

CLC number

Navigation