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Journal of Inequalities and Applications
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  • Research Article
  • Open Access

Parametric problem of completely generalized quasi-variational inequalities

Journal of Inequalities and Applications20062006:86869

https://doi.org/10.1155/JIA/2006/86869

©  Salahuddin et al. 2006

  • Received: 29 August 2004
  • Accepted: 29 June 2005
  • Published:

Abstract

This paper is devoted to the study of behaviour and sensitivity analysis of the solution for a class of parametric problem of completely generalized quasi-variational inequalities.

Keywords

  • Sensitivity Analysis
  • Parametric Problem

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Authors’ Affiliations

(1)
Department of Mathematics, Aligarh Muslim University, Aligarh, (UP), 202002, India
(2)
Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals, P.O. Box 1745, Dhahran, 31261, Saudi Arabia

References

  1. Ahmad R, Kazmi KR, Salahuddin : Completely generalized non-linear variational inclusions involving relaxed Lipschitz and relaxed monotone mappings. Nonlinear Analysis Forum 2000, 5: 61–69.MATHMathSciNetGoogle Scholar
  2. Cottle RW, Giannessi F, Lions JL: Variational Inequalities and Complementarity Problems, Theory and Applications. John Wiley & Sons, Chichester; 1980:xvii+408.MATHGoogle Scholar
  3. Dafermos S: Sensitivity analysis in variational inequalities. Mathematics of Operations Research 1988,13(3):421–434. 10.1287/moor.13.3.421MATHMathSciNetView ArticleGoogle Scholar
  4. Ding XP, Luo CL: On parametric generalized quasi-variational inequalities. Journal of Optimization Theory and Applications 1999,100(1):195–205. 10.1023/A:1021777217261MATHMathSciNetView ArticleGoogle Scholar
  5. Kinderlehrer D, Stampacchia G: An Introduction to Variational Inequalities and Their Applications, Pure and Applied Mathematics. Volume 88. Academic Press, New York; 1980:xiv+313.MATHGoogle Scholar
  6. Lim T-C: On fixed point stability for set-valued contractive mappings with applications to generalized differential equations. Journal of Mathematical Analysis and Applications 1985,110(2):436–441. 10.1016/0022-247X(85)90306-3MATHMathSciNetView ArticleGoogle Scholar
  7. Mukherjee RN, Verma HL: Sensitivity analysis of generalized variational inequalities. Journal of Mathematical Analysis and Applications 1992,167(2):299–304. 10.1016/0022-247X(92)90207-TMATHMathSciNetView ArticleGoogle Scholar
  8. Nadler SB Jr.: Multi-valued contraction mappings. Pacific Journal of Mathematics 1969,30(2):475–488.MATHMathSciNetView ArticleGoogle Scholar
  9. Noor MA: An iterative scheme for a class of quasivariational inequalities. Journal of Mathematical Analysis and Applications 1985,110(2):463–468. 10.1016/0022-247X(85)90308-7MATHMathSciNetView ArticleGoogle Scholar
  10. Robinson SM: Sensitivity analysis of variational inequalities by normal-map techniques. In Variational Inequalities and Network Equilibrium Problems (Erice, 1994). Edited by: Giannessi F, Maugeri A. Plenum, New York; 1995:257–269.View ArticleGoogle Scholar
  11. Salahuddin : Some aspects of variational inequalities, M.S. thesis. AMU, Aligarh; 2000.Google Scholar
  12. Salahuddin : On parametric generalized quasivariational inequalities with related Lipschitz and relaxed monotone mappings. Advances in Nonlinear Variational Inequalities 2002,5(1):107–114.MATHMathSciNetGoogle Scholar
  13. Siddiqi AH, Ansari QH: An algorithm for a class of quasivariational inequalities. Journal of Mathematical Analysis and Applications 1990,145(2):413–418. 10.1016/0022-247X(90)90409-9MATHMathSciNetView ArticleGoogle Scholar
  14. Yen ND: Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. Mathematics of Operations Research 1995,20(3):695–708. 10.1287/moor.20.3.695MATHMathSciNetView ArticleGoogle Scholar

Copyright

© Salahuddin et al. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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