Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space

It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in 𝐹 to a certain variational inequality, where 𝐹∶=∩∞𝑛=0𝐹(𝑇𝑛) stands for the commo...

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Bibliographic Details
Main Author: Zhanfei Zuo
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/459085