Cai, Tao; Liu, Zeqing; Shim, Soo Hak; Kang, Shin Min Approximation-solvability of a system of generalized nonlinear mixed variational inequalities. (English) Zbl 1076.49004 Adv. Nonlinear Var. Inequal. 8, No. 1, 63-70 (2005). Summary: We introduce and study a new class of systems of generalized nonlinear mixed variational inequalities and prove its equivalence with a class of fixed-point problems by making use of the properties of the subdifferential of a proper, convex and lower semi-continuous functional. We also construct a new iterative algorithm for solving this class of systems of inequalities and prove the existence and uniqueness of solutions and the convergence of iterative sequences generated by the algorithm. Cited in 1 Document MSC: 49J40 Variational inequalities 47J20 Variational and other types of inequalities involving nonlinear operators (general) 47H10 Fixed-point theorems Keywords:generalized nonlinear mixed variational inequalities; strongly monotone mapping; algorithm; convergence; fixed-points PDFBibTeX XMLCite \textit{T. Cai} et al., Adv. Nonlinear Var. Inequal. 8, No. 1, 63--70 (2005; Zbl 1076.49004)