Equilibrium Problems with Applications to Eigenvalue Problems

  • O. Chadli
  • N.C. Wong
  • J.C. Yao
Article

DOI: 10.1023/A:1023627606067

Cite this article as:
Chadli, O., Wong, N. & Yao, J. Journal of Optimization Theory and Applications (2003) 117: 245. doi:10.1023/A:1023627606067

Abstract

In this paper, we consider equilibrium problems and introduce the concept of (S)+ condition for bifunctions. Existence results for equilibrium problems with the (S)+ condition are derived. As special cases, we obtain several existence results for the generalized nonlinear variational inequality studied by Ding and Tarafdar (Ref. 1) and the generalized variational inequality studied by Cubiotti and Yao (Ref. 2). Finally, applications to a class of eigenvalue problems are given.

Equilibrium problems bifunctions (S)+ condition general nonlinear variational inequalities generalized variational inequalities eigenvalue problems 

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • O. Chadli
    • 1
  • N.C. Wong
    • 2
  • J.C. Yao
    • 2
  1. 1.Centre des Etudes EconomiquesUniversité Ibn ZohrRectorat, AgadirMorocco
  2. 2.Department of Applied MathematicsNational Sun Yat-Sen UniversityKaohsiungTaiwan, ROC

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