Extragradient Methods for Monotone Variational Inequalities under Continuity

In the paper, Defeng Sun, “Projected extragradient method for finding saddle points of general convex programming”, Qufu Shifan Daxue Xuebao Ziran Kexue Ban19:4 (1993) 10–17, we designed a Korpelevich-type extragradient method with a rigorous proof under continuity only. See the version translated in English. For extensions, please refer to Defeng Sun, “A new step-size skill for solving a class of nonlinear projection equations”, Journal of Computational Mathematics 13:4 (1995), 357–368 and Defeng Sun, “A class of iterative methods for solving nonlinear projection equations”, Journal of Optimization Theory and Applications, Vol. 91, No.1, 1996, pp. 123–140.