Title of article :
On the existence of solutions for the variational inequality problem VI(A,ψ,ϕ,g;K)
Author/Authors :
alimohammadi, mohsen Department of Mathematics - University of Mazandaran, Babolsar, IRAN , Gilak, Maysam Department of Mathematics - 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 VI(A;ψ,ϕ,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 :
Variational inequality , Type g−ql , GKKM mapping , Well-posedness , Approximating sequence , Value cone set
Journal title :
International Journal of Nonlinear Analysis and Applications
