Open Access

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

Fixed Point Theory and Applications20052005:140209

https://doi.org/10.1155/FPTA.2005.125

Received: 19 September 2004

Published: 30 June 2005

Abstract

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.

Authors’ Affiliations

(1)
Department of Mathematics, College of Natural Sciences, Dong-A University
(2)
Department of Mathematics Education, College of Education, and the Research Institute of Natural Science, Gyeongsang National University
(3)
Department of Mathematical Sciences, Florida Institute of Technology

Copyright

© Jung et al. 2005