# On the existence of solutions for the variational inequality problem $V I(A, \psi, \phi,g;K)$

Document Type : Research Paper

Authors

1 Department of Mathematics, University of Mazandaran, Babolsar, IRAN

2 PhD student Mathematics department, University of Mazandaran, Babolsar, Iran

Abstract

In this paper, we are concerned with the existence of a solution u 2 K for the variational inequality
problem $V I(A; \psi, \phi, g;K)$. Furthermore, we propose some conditions that ensure the well-posedness of this problem. We study an operator type $g - ql$ which extends the linear problem. Finally, we investigate the existence of solutions for general vector variational inequalities in the inclusion form.

Keywords