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http://hdl.handle.net/10553/9032
Title: | On some Banach space constants arising in nonlinear fixed point and eigenvalue theory | Authors: | Appell, Jürgen Erzakova, Nina A. Falcón Santana, Sergio Väth, Martin |
UNESCO Clasification: | 12 Matemáticas | Issue Date: | 2004 | Journal: | Fixed Point Theory and Applications | Abstract: | 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 upper and lower estimates, or even explicit formulas, for the minimal Lipschitz constant and measure of noncompactness of such maps. | URI: | http://hdl.handle.net/10553/9032 | ISSN: | 1687-1812 | Other Identifiers: | http://dx.doi.org/10.1155/S1687182004406068 | DOI: | 10.1155/S1687182004406068 | Source: | Fixed Point Theory and Applications [ISSN 1687-1812], v. 4, p. 317–336 |
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