Rafiq, Arif On the convergence of the three-step iteration process in the class of quasi-contractive operators. (English) Zbl 1120.47314 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 22, No. 3, 305-309 (2006). Summary: We establish a general theorem to approximate fixed points of quasi-contractive operators on a normed space through the three-step iteration process. Our result generalizes and improves upon, among others, the corresponding result of V. Berinde [Acta Math. Univ. Comen., New Ser. 73, No. 1, 119–126 (2004; Zbl 1100.47054)]. Cited in 4 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H10 Fixed-point theorems 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:iteration process; contractive condition; strong convergence Citations:Zbl 1100.47054 PDFBibTeX XMLCite \textit{A. Rafiq}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 22, No. 3, 305--309 (2006; Zbl 1120.47314) Full Text: EuDML