Schott, Dieter Weak convergence of iterative methods generated by strongly Fejér monotone mappings. (English) Zbl 0890.65055 Rostocker Math. Kolloq. 51, 83-96 (1997). The author considers the general class of strongly Fejér monotone mappings and the subclass of strongly non-expansive operators. The weak convergence of iterative methods generated by strongly Fejér monotone mappings is proved. Applications concerning Fejér monotone iterative methods are presented. Reviewer: L.Hącia (Poznań) MSC: 65J15 Numerical solutions to equations with nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47J25 Iterative procedures involving nonlinear operators Keywords:strongly non-expansive operators; weak convergence; strongly Fejér monotone mappings; Fejér monotone iterative methods PDFBibTeX XMLCite \textit{D. Schott}, Rostocker Math. Kolloq. 51, 83--96 (1997; Zbl 0890.65055)