Berinde, Vasile On the stability of some fixed point procedures. (English) Zbl 1031.47030 Bul. Științ. Univ. Baia Mare, Ser. B, Fasc. Mat.-Inform. 18, No. 1, 7-14 (2002). Summary: Following the concept of \(T\)-stability defined by us [“Generalized contractions and applications” (Romanian) (Colectia Universitaria, Editura Cub Press 22, Baia Mare) (1997; Zbl 0885.47022)] for a fixed point iteration procedure, we establish in a simpler manner the same stability results for the Picard iteration and Mann iteration considered in metric spaces and normed linear spaces, respectively. Cited in 4 ReviewsCited in 31 Documents MSC: 47H10 Fixed-point theorems 54H25 Fixed-point and coincidence theorems (topological aspects) 47J25 Iterative procedures involving nonlinear operators 65D15 Algorithms for approximation of functions Keywords:fixed point iteration; \(T\)-stability Citations:Zbl 0885.47022 PDF BibTeX XML Cite \textit{V. Berinde}, Bul. Științ. Univ. Baia Mare, Ser. B, Fasc. Mat.-Inform. 18, No. 1, 7--14 (2002; Zbl 1031.47030) OpenURL