×

Common fixed points of quasi-contractive operators. (English) Zbl 1235.47073

Summary: We establish a general theorem to approximate common fixed points of quasi-contractive operators on a normed space through the modified Ishikawa iteration process with errors in the sense of L.-S. Liu [J. Math. Anal. Appl. 194, No. 1, 114–125 (1995; Zbl 0872.47031)]. 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)].

MSC:

47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
PDF BibTeX XML Cite