Article

Journal of Optimization Theory and Applications

, Volume 107, Issue 3, pp 547-557

First online:

System of Vector Equilibrium Problems and Its Applications

  • Q. H. AnsariAffiliated withDepartment of Mathematics, Aligarh Muslim University
  • , S. SchaibleAffiliated withA. G. Anderson Graduate School of Management, University of California
  • , J. C. YaoAffiliated withDepartment of Applied Mathematics, National Sun Yat-Sen University

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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 problems system of vector variational inequalities system of vector optimization problems Nash equilibrium problem fixed points