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http://dx.doi.org/10.4134/CKMS.2005.20.2.311

SENSITIVITY ANALYSIS OF SOLUTIONS FOR PARAMETRIC NONLINEAR IMPLICIT QUASIVARIATIONAL INCLUSIONS  

WANG WEILI (Basis Courses Teching Department Dalian Institute of Light Industry)
LIU ZEQING (Department of Mathematics Liaoning Normal University)
KANG SHIN MIN (Department of Mathematics and Research Institute of Natural Science Gyeongsang National University)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.2, 2005 , pp. 311-319 More about this Journal
Abstract
In this paper we introduce a new class of parametric nonlinear implicit quasivariational inclusions and obtain some results about the existence and sensitivity analysis of solutions for this kind of quasivariational inclusions.
Keywords
parametric nonlinear implicit quasivariational inclusions; sensitivity analysis; implicit resolvent operator; Hilbert space;
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1 R. P. Agarwal, Y. J. Cho and N. J. Huang, Sensitivity analysis for strongly nonlinear quasi-variational inclusions, Appl. Math. Lett. 13 (2000), 19-24
2 S. Dafermoa, Sensitivity analysis in variational inequalities, Math. Oper. Res. 13 (1998), 421-434   DOI
3 N. J. Huang, Mann and Ishikawa type perturbed iterative algorithm for general- ized nonlinear implicit quasi-variational inclusions, J. Comput. Appl. Math. 35 (1998), no. 10, 1-7   DOI   ScienceOn
4 R. N. Mukherjee and H. L. Verma, Sensitivity analysis of generalized variational inequalities, J. Math. Anal. Appl. 167 (1992), 299-304   DOI
5 S. M. Robinson, Sensitivity analysis for variational inequalities by normal-map technique, In variational inequalities and Network Equilibrium Problem, Plenum Press, New York, 1995
6 Z. Liu, L. Debnath, S. M. Kang and J. S. Ume, Sensitivity analysis for parametric completely generalized nonlinear implicit quasivariational inclusions, J. Math. Anal. Appl. 277 (2003), 142-154   DOI   ScienceOn
7 N. D. Yen, Lipschitz continuity of solution variational inequalities with a para- metric polyhedral constraint, Math. Oper. Res. 20 (1995), 695-708   DOI   ScienceOn