The Methods of Hilbert Spaces and Structure of the Fixed-Point Set of Lipschitzian Mapping

The purpose of this paper is to prove, by asymptotic center techniques and the methods of Hilbert spaces, the following theorem. Let H be a Hilbert space, let C be a nonempty bounded closed convex subset of H, and let M=[an,k]n,k≥1 be a strongly ergodic matrix. If T:C→C is a li...

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Bibliographic Details
Main Author: Jarosław Górnicki
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2009/586487