Iwaoka, Kouichiro I.; Fukushima, Masao F.; Ibaraki, Toshihide A primal-dual proximal point algorithm for variational inequality problems. (English) Zbl 0847.49009 Giannessi, F. (ed.) et al., Variational inequalities and network equilibrium problems. Proceedings of a conference, Erice, Italy, June 19-25, 1994. New York, NY: Plenum, 143-153 (1995). A new variant of the primal-dual proximal point algorithm for solving monotone variational inequalities is suggested and analyzed. The proposed method adopts a Gauss-Seidel like procedure to solve a subproblem in each iteration, which updates primal variables and dual variables alternatively. This method is particular suitable for solving traffic assignment problems.For the entire collection see [Zbl 0834.00044]. Reviewer: M.A.Noor (Riyadh) MSC: 49J40 Variational inequalities 90B80 Discrete location and assignment Keywords:equilibrium problems; variational inequalities; traffic assignment problems PDFBibTeX XMLCite \textit{K. I. Iwaoka} et al., in: Variational inequalities and network equilibrium problems. Proceedings of a conference, Erice, Italy, June 19-25, 1994. New York, NY: Plenum. 143--153 (1995; Zbl 0847.49009)