REMARKS ON IMPLICIT VECTOR VARIATIONAL INEQUALITIES

Abstract

In this paper, as a continuation of the authors’work, the existence of solutions of IVVI for noncompact valued multifunctions is provided under generalized pseudomonotonicity assumption. This generalizes Konnov and Yao’s results [6, Theorems 3.1 and 4.1]. Also another IVVI without the generalized pseudomonotonicity assumption is proposed and the existence of solutions of the IVVI is proved by using a selection theorem. This IVVI can be regarded as an extension of the VVI studied in Lee et al. [10].