Journal of applied mathematics & informatics

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

WELL-POSED VARIATIONAL INEQUALITIES

  • 발행 : 2003.01.01

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초록

In this paper, we introduce the concept of well-posedness for general variational inequalities and obtain some results under pseudomonotonicity. It is well known that monotonicity implies pseudomonotonicity, but the converse is not true. In this respect, our results represent an improvement and refinement of the previous known results. Since the general variational inequalities include (quasi) variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems.

키워드

참고문헌

  1. Variational Inequalities and Network Equilibrium Problems F. Giannessi;A. Maugeri
  2. Numer. Funct. Anal. Optim. v.16 Well-posed heivariational inequalities D. Goeleven;D. Mantague
  3. Numer. Funct. Anal. Optim. v.3 A characterization of Tykhonov well-posedness for minimum problems with applications to variational inequalities R. Lucchetti;F. Patrone
  4. Numer. Funct. Ana;. Optim. v.5 Some properties of well-posed variational inequalities governed by linear operators R. Lucchetti;F. Patrone
  5. Appl. Math. Letters v.1 General variational inequalities M. Aslam Noor
  6. J. Optim. Theory Appl. v.79 wiener-Hopf equations and variational inequalities M. Aslam Noor
  7. Korean J. Comput. Appl. Math. v.7 Wiener-Hopf equations techniques for variational inequalities M. Aslam Noor
  8. New Zwaland J. Math. v.26 Some recent advances in variational inequalities, basic concepts M. Aslam Noor
  9. New Zealand J. Math. v.26 Dome recent advances in variational inequalities, other concepts M. Aslam Noor
  10. J. Math. Anal. Appl. v.251 New approximation schemes for general variational inequalities M. Aslam Noor
  11. J. Math. Anal. Appl. New extragradient-type methods for general variational inequalities M. Aslam Noor
  12. Computational Mechanics Publications Variational inequalities in physical oceanography, in Ocean Waves Engineering M. Aslam Noor;M. Rahman(Ed.)
  13. J. Optim. Theory Appl. v.103 Wiener-Hopf equations technique for quasimonotone variational inequalities M. Aslam Noor;E. Al-Said
  14. J. Comput. Appl. Math. v.47 Some aspects of variational inequalities M. Aslam Noor;K. Inayat Noor;Th. M. Rassias
  15. C. R. Acad. Aci. v.258 Formes bilineaires coercitives sur les ensembles convexes G. Stampacchia
  16. J. Math. Anal. Appl. v.258 Tangent projection equations and general variational equalities N. Xiu;J. Zhang;M. Aslam Noor