Volume no :11, Issue no: 1, September (2011)

ON EXISTENCE OF SOLUTIONS FOR GENERALIZED VECTOR EQUILIBRIUM PROBLEM

Author's: LIN XING and YALI ZHAO
Pages: [57] - [68]
Received Date: September 17, 2011
Submitted by:

Abstract

In this paper, we introduce the concept of -pseudomonotonicity. By considering the existence of solutions for the generalized vector equilibrium problems with a continuous selection theorem, we obtain some existence results for the generalized vector equilibrium problems with point-to-set mappings.

Keywords

generalized vector equilibrium problem, -pseudomonotonicity, point-to-set mappings, KKM-theorem.