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On Parametric Generalized Quasi-Variational Inequalities

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Abstract

In this paper, by using the projection method of Dafermos (Ref. 1), we study the behavior and sensitivity analysis of the solution set for a class of parametric generalized quasi-variational inequalities. Our approach and results are new and have a strong geometric flavor.

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References

  1. Dafermos, S., Sensitivity Analysis in Variational Inequalities, Mathematics of Operations Research, Vol. 13, pp. 421–434, 1988.

    Google Scholar 

  2. Yen, N. D., Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint, Mathematics of Operations Research, Vol. 20, 695–708, 1995.

    Google Scholar 

  3. Mukherjee, R. N., and Verma, H. L., Sensitivity Analysis of Generalized Variational Inequalities, Journal of Mathematical Analysis and Applications, Vol. 167, 299–304, 1992.

    Google Scholar 

  4. Noor, M. A., General Algorithm and Sensitivity Analysis for Variational Inequalities, Journal of Applied Mathematics and Stochastic Analysis, Vol. 5, pp. 29–42, 1992.

    Google Scholar 

  5. Pan, Y. H., Sensitivity Analysis for General Quasivariational Inequalities, Journal of the Sichuan Normal University (Natural Science), Vol. 19, pp. 56–59, 1996.

    Google Scholar 

  6. Robinson, S. M., Sensitivity Analysis of Variational Inequalities by Normal-Map Techniques, Variational Inequalities and Network Equilibrium Problems, Edited by F. Giannessi and A. Maugeri, Plenum Press, New York, New York, 1995.

    Google Scholar 

  7. Kinderlehrer, D., and Stampacchia, S., An Introduction to Variational Inequalities and Their Applications, Academic Press, New York, New York, 1980.

    Google Scholar 

  8. Noor, M. A., An Iterative Scheme for a Class of Quasivariational Inequalities, Journal of Mathematical Analysis and Applications, Vol. 110, pp. 463–468, 1985.

    Google Scholar 

  9. Ding, X. P., A New Class of Generalized Strongly Nonlinear Quasivariational Inequalities and Quasicomplementarity Problems, Indian Journal of Pure and Applied Mathematics, Vol. 25, pp. 1115–1128, 1994.

    Google Scholar 

  10. Lim, T. C., On Fixed-Point Stability for Set-Valued Contractive Mappings with Applications to Generalized Differential Equations, Journal of Mathematical Analysis and Applications, Vol. 110, pp. 436–441, 1985.

    Google Scholar 

  11. Siddiqi, A. H., and Ansari, Q. H., An Iterative Method for Generalized Variational Inequalities, Mathematics Japonica, Vol. 34, pp. 475–481, 1989.

    Google Scholar 

  12. Nadler, S. B., Jr., Multivalued Contraction Mappings, Pacific Journal of Mathematics, Vol. 30, pp. 475–485, 1969.

    Google Scholar 

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Ding, X.P., Luo, C.L. On Parametric Generalized Quasi-Variational Inequalities. Journal of Optimization Theory and Applications 100, 195–205 (1999). https://doi.org/10.1023/A:1021777217261

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  • DOI: https://doi.org/10.1023/A:1021777217261

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