Volume no :6, Issue no: 1, September 2010

Journal of Mathematical Sciences: Advances and Applications

GENERALIZED VECTOR IMPLICIT VARIATIONAL INEQUALITY PROBLEM WITH APPLICATION TO BEST APPROXIMATION

Author's: Zoran D. Mitrović and Nenad U. Stojanović
Pages: [65] - [72]
Received Date: September 14, 2010
Submitted by:

Abstract

We apply the KKM technique to study generalized vector implicit variational inequality problem. Our results generalize the works of Huang and Li [8], Li and Huang [11], and represent variant of result of Lee and Farajzadeh [10]. We also obtain a version of best approximations theorem in cone metric spaces.

Keywords

vector implicit variational inequality problem, KKM mapping, convex cone, best approximation.