... conditions:F1 Fx, x0 for all x ∈ H;F2 F is monotone, that is, Fx, yFy, x ≤ 0 for all x, y ∈ H;F3 for each x, y, z ∈ H, lim supt0Ftz 1 − tx, y ≤ Fx, y;F4 for each x ∈ H, y ... addressed to Chia-Ping Chen, cpchen@cse.nsysu.edu.twReceived 21 May 2010; Accepted 22 December 2010Academic Editor: Satit SaejungCopyright q 2010 Yonghong Yao et al. This is an open access article ... variational inequality problemabbreviated as HEVP: find a point x∗∈ EPF, B such that Ax∗,x − x∗≥0, for all x ∈EPF, B,whereA, B are two monotone operators and EPF, B is the solution...