On convergence of a sequence in complete metric spaces and its applications to some iterates of quasi-nonexpansive mappings
type: Item
instance of: scholarly article
title: On convergence of a sequence in complete metric spaces and its applications to some iterates of quasi-nonexpansive mappings
zbMATH Open document ID: 1024.47036
DOI: 10.1016/S0022-247X(02)00242-1
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: Assuming that a selfmap of a metric space is quasi-nonexpansive with respect to a sequence of points, the author presents some conditions which guarantee the convergence of some sequences to a fixed point of the mapping. The results obtained generalize some results of \textit{M. K. Ghosh} and \textit{L. Debnath} [J. Math. Anal. Appl. 207, 96-103 (1997; Zbl 0881.47036)], \textit{W. A. Kirk} [Ann. Univ. Mariae Curie-Skłodowska, Sect. A 51, 167-178 (1997; Zbl 1012.47035)] and \textit{W. V. Petryshyn} and \textit{T. E. Williamson jun.} [J. Math. Anal. Appl. 43, 459-497 (1973; Zbl 0262.47038)]. Some examples are presented.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 1866637
zbMATH Keywords: quasi-nonexpansive mapping
zbMATH Keywords: metric space
zbMATH Keywords: fixed point
reviewed by: Janusz Matkowski
MaRDI profile type: Publication
cites work: Q4176119
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description: scientific article; zbMATH DE number 1866637