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

In this paper, we are concerned with the existence of a solution u ۲ 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.

کلیدواژه ها:

variational inequality ، Type g-ql ، GKKM mapping ، well-posedness ، Approximating sequence and Value cone set