On some Banach space constants arising in nonlinear fixed point and eigenvalue theory

As is well known, in any infinite-dimensional Banach space one may find fixed point free self-maps of the unit ball, retractions of the unit ball onto its boundary, contractions of the unit sphere, and nonzero maps without positive eigenvalues and normalized eigenvectors. In this paper, we give uppe...

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Bibliographic Details
Main Authors: Martin Väth, Sergio Falcon Santana, Nina A. Erzakova, Jürgen Appell
Format: Article
Language:English
Published: SpringerOpen 2004-12-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/S1687182004406068