Iterative schemes with some control conditions for a family of finite nonexpansive mappings in Banach spaces

The iterative schemes with some control conditions for a family of finite nonexpansive mappings are established in a Banach space. The main theorem improves results of Jung and Kim (also Bauschke). Our results also improve the corresponding results of Cho et al., Shioji and Takahashi, Xu, and Zhou...

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Bibliographic Details
Main Authors: R. P. Agarwal, Yeol Je Cho, Jong Soo Jung
Format: Article
Language:English
Published: SpringerOpen 2005-06-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA.2005.125
Description
Summary:The iterative schemes with some control conditions for a family of finite nonexpansive mappings are established in a Banach space. The main theorem improves results of Jung and Kim (also Bauschke). Our results also improve the corresponding results of Cho et al., Shioji and Takahashi, Xu, and Zhou et al. in certain Banach spaces and of Lions, O'Hara et al., and Wittmann in a framework of a Hilbert space, respectively.
ISSN:1687-1820
1687-1812