Wang, Gang; Peng, Jianwen; Lee, Heung-Wing Joseph Implicit iteration process with mean errors for common fixed points of a finite family of strictly pseudocontrative maps. (English) Zbl 1145.47053 Int. J. Math. Anal., Ruse 1, No. 1-4, 89-99 (2007). The authors study weak and strong convergence of an implicit iteration with errors for finitely many strictly pseudo-contractive mappings in a Hilbert spaces. Recall that a mapping \(T\) from a subset \(K\) of a Hilbert space into \(K\) is strictly pseudo-contractive if there is \(0<k<1\) such that \(\| Tx-Ty\| ^2\leq\| x-y\| ^2+k\| (x-Tx)-(y-Ty)\| ^2\) for all \(x,y\in K\). Reviewer: Satit Saejung (Khon Kaen) Cited in 2 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems Keywords:implicit iteration; common fixed point; strictly pseudocontractive mapping; Hilbert space PDFBibTeX XMLCite \textit{G. Wang} et al., Int. J. Math. Anal., Ruse 1, No. 1--4, 89--99 (2007; Zbl 1145.47053)