대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제20권2호
  • /
  • Pages.311-319
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  • 2005
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 발행 : 2005.04.01
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초록

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.

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참고문헌

  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 https://doi.org/10.1287/moor.13.3.421
  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 https://doi.org/10.1016/0377-0427(91)90194-O
  4. R. N. Mukherjee and H. L. Verma, Sensitivity analysis of generalized variational inequalities, J. Math. Anal. Appl. 167 (1992), 299-304 https://doi.org/10.1016/0022-247X(92)90207-T
  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. N. D. Yen, Lipschitz continuity of solution variational inequalities with a para- metric polyhedral constraint, Math. Oper. Res. 20 (1995), 695-708 https://doi.org/10.1287/moor.20.3.695
  7. 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 https://doi.org/10.1016/S0022-247X(02)00518-8