Journal of Optimization Theory and Applications

, Volume 107, Issue 3, pp 547–557

System of Vector Equilibrium Problems and Its Applications

Authors

  • Q. H. Ansari
    • Department of MathematicsAligarh Muslim University
  • S. Schaible
    • A. G. Anderson Graduate School of ManagementUniversity of California
  • J. C. Yao
    • Department of Applied MathematicsNational Sun Yat-Sen University
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