Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844671 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 11 Pages |
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 -ψψ-contractions and condensing mappings, under a condition which depends on the infimum kψkψ of all k⩾1k⩾1 for which there exists a k -ψψ-contractive retraction of the closed unit ball of the space X onto its boundary.
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Authors
D. Caponetti, A. Trombetta, G. Trombetta,