Let X be a infinite dimensional Banach space.We generalize Guo’s Theorem [D.J. Guo, Eigenvalues and eigenvectors of nonlinear operators, Chinese Ann. Math. 2 (1981) 65–80 [English]] to k-contractions and condensing mappings, under a condition which depends on the infimum k of all k>=1 for which there exists a k-contractive retraction of the closed unit ball of the space X onto its boundary.
An extension of Guo's theorem via k-psi-contractive retractions
D. CAPONETTI;TROMBETTA A;G. TROMBETTA
2006-01-01
Abstract
Let X be a infinite dimensional Banach space.We generalize Guo’s Theorem [D.J. Guo, Eigenvalues and eigenvectors of nonlinear operators, Chinese Ann. Math. 2 (1981) 65–80 [English]] to k-contractions and condensing mappings, under a condition which depends on the infimum k of all k>=1 for which there exists a k-contractive retraction of the closed unit ball of the space X onto its boundary.File in questo prodotto:
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