Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

RESOLVENT DYNAMICAL SYSTEMS FOR MIXED VARIATIONAL INEQUALITIES

  • Published : 2002.12.01

⟨ Previous Next ⟩

Abstract

In this paper, we suggest and analyze a class of resolvent dynamical systems associated with mixed variational inequalities. We study the globally asymptotic stability of the solution of the resolvent dynamical systems for the pseudomonotone operators. We also discuss some special cases, which can be obtained from our main results.

Keywords

References

  1. Variational and Quasi-Variational Inequalities C.Baiocchi;A.Capelo
  2. Operateurs Maximaux Monotones et Semigroupes de Contractions dan les Espaces de Hilbert H.Brezis
  3. Math. Computer Modelling v.24 no.2 A projected dynamical systems model of general financial equilibrium with stability analysis J.Dong;D.Zhang;A.Nagurney
  4. Annal Opers. Research v.44 Dynamical systems and variational inequalities P.Dupuis;A.Nagurney
  5. Opers. Research v.42 Day-to-day dynamic network disequilibria and idealized traveler information systerms T.L.Friesz;D.H.Berstein;N.J.Mehta;S.Ganjliazadeh
  6. Transportation Science v.30 Dynamic systems, variational inequalities and control theoretic models for predicting time-varying urban network flows T.L.Friesz;D.H.Berstein;R.Stough
  7. Variational Inequalities and Network Equilibrium Problems F.Giannessi;A.Maugeri
  8. Contact Problems in Elasticity N.Kikuchi;J.T.Oden
  9. Projected Dynamical Systems and Variational Inequalities with Applications A.Nagurney;D.Zhang
  10. New Zealnd J. Math. v.26 Some recent advances in variational inequalities, Part Ⅰ, basic concepts M.Aslam Noor
  11. New Zealnd J. Math. v.26 Some recent advances in variational inequalities, Part Ⅱ, other concepts M.Aslam Noor
  12. Mathl. Computer Modelling v.29 no.7 Some algorithms for general monotone mixed variational inequalities M.Aslam Noor
  13. Appl. Math. Comput. Implicit dynamical systems and quasi variational inequalities M.Aslam Noor
  14. New Zealand J. Math. ` A Wiener-Hopf dynamical system for variational inequalities M.Aslam Noor
  15. J. Comput. Appl. Math. v.47 Some aspects of variational inequalities M.Aslam Noor
  16. Nonlinear Programming and Variational Inequalities: A Unified Approach M.Patriksson
  17. C. R. Acad. Sci. v.258 Formes bilineaires coercitives sur les ensembles convexes G.Stapmacchia
  18. Neural Nework v.13 A recurrent neural network for solving linear projection equations Y.S.Xia;J.Wang
  19. J. Opitm. Theory Appl. v.106 On the stability of globally projected dynamical systems Y.S.Xia;J.Wang
  20. J. Optim. Theory Appl. v.85 On the stability of the projected dynamical systems D.Zhang;A.Nagurney