Journal of Optimization Theory and Applications

, Volume 107, Issue 3, pp 547–557

System of Vector Equilibrium Problems and Its Applications

  • Q. H. Ansari
  • S. Schaible
  • J. C. Yao
Article

DOI: 10.1023/A:1026495115191

Cite this article as:
Ansari, Q.H., Schaible, S. & Yao, J.C. Journal of Optimization Theory and Applications (2000) 107: 547. doi:10.1023/A:1026495115191

Abstract

In this paper, we introduce a system of vector equilibrium problems andprove the existence of a solution. As an application, we derive someexistence results for the system of vector variational inequalities. We alsoestablish some existence results for the system of vector optimizationproblems, which includes the Nash equilibrium problem as a special case.

system of vector equilibrium problemssystem of vector variational inequalitiessystem of vector optimization problemsNash equilibrium problemfixed points

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • Q. H. Ansari
    • 1
  • S. Schaible
    • 2
  • J. C. Yao
    • 3
  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia
  2. 2.A. G. Anderson Graduate School of ManagementUniversity of CaliforniaRiverside
  3. 3.Department of Applied MathematicsNational Sun Yat-Sen UniversityKaohsiungTaiwan, ROC