... 2009.9 D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications,vol. 88 of Pure and Applied Mathematics, Academic Press, New York, NY, USA, 1980.10 ... KRF-2008-313-C00050.References1 S. Takahashi and W. Takahashi, “Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol. ... be a nonlinear mapping. The variational inequality problemcorresponding to the mapping F is to find a point x∗∈ C such thatFx∗,x− x∗≥ 0, ∀x ∈ C. 1.6The variational inequality...