Browse > Article
http://dx.doi.org/10.4134/JKMS.2007.44.4.889

PARAMETRIC GENERALIZED MIXED IMPLICIT QUASI-VARIATIONAL INCLUSIONS  

Park, Jong-Yeoul (DEPARTMENT OF MATHEMATICS PUSAN NATIONAL UNIVERSITY)
Jeong, Jae-Ug (DEPARTMENT OF MATHEMATICS DONG EUI UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 889-902 More about this Journal
Abstract
An existence theorem for a new class of parametric generalized mixed implicit quasi-variational inclusion problems is established in Hilbert spaces. Further, we study the behavior and sensitivity analysis of the solution set in this class of parametric variational inclusion problems.
Keywords
sensitivity analysis; resolvent operator; Hilbert space; monotone operator;
Citations & Related Records

Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 T. C. Lim, On fixed point stability for set-valued contractive mappings with application to generalized differential equations, J. Math. Anal. Appl. 110 (1985), no. 2, 436-441   DOI
2 S. Adly, Perturbed algorithms and sensitivity analysis for a general class of variational inclusions, J. Math. Anal. Appl. 201 (1996), no. 2, 609-630   DOI   ScienceOn
3 D. Pascali and S. Sburlan, Nonlinear Mappings of Monotone Type, Sijthoff and Noordhoff, Romania, 1978
4 Salahuddin, Parametric generalized set-valued variational inclusions and resolvent equations, J. Math. Anal. Appl. 298 (2004), no. 1, 146-156   DOI   ScienceOn
5 N. D. Yen, Lipschitz continuity of solution of variational inequalities with a parametric polyhedral constraint, Math. Oper. Res. 20 (1995), no. 3, 695-708   DOI   ScienceOn
6 R. N. Mukherjee and H. L. Verma, Sensitivity analysis of generalized variational inequalities, J. Math. Anal. Appl. 167 (1992), no. 2, 299-304   DOI
7 R. P. Agarwal, Y. J. Cho, and N. J. Huang, Sensitivity analysis for strongly nonlinear quasi-variational inclusions, Appl. Math. Lett. 13 (2000), no. 6, 19-24
8 S. Dafermos, Sensitivity analysis in variational inequalities, Math. Oper. Res. 13 (1995), no. 3, 421-434   DOI
9 X. P. Ding and C. L. Luo, On parametric generalized quasi-variational inequalities, J. Optim. Theory Appl. 100 (1999), no. 1, 195-205   DOI   ScienceOn
10 S. B. Nadler, Multi-valued contraction mappings, Pacific J. Math. 30 (1969), no. 1, 475-485   DOI
11 M. A. Noor, General algorithm and sensitivity analysis for variational inequalities, Journal of Applied Mathematics and Stochastic Analysis 5 (1992), 29-42   DOI   ScienceOn
12 M. A. Noor and K. I. Noor, Sensitivity analysis for quasi-variational inclusions, J. Math. Anal. Appl. 236 (1999), 290-299   DOI   ScienceOn
13 J. Y. Park and J. U. Jeong, Parametric generalized mixed variational inequalities, Appl. Math. Lett. 17 (2004), 43-48   DOI   ScienceOn