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RESEARCH PRODUCT
An extension of Guo's theorem via k--contractive retractions
Alessandro TrombettaDiana CaponettiG. Trombettasubject
Unit spherePure mathematicsApplied MathematicsMathematical analysisFixed-point indexBanach spaceInfimum and supremumAnalysisEigenvalues and eigenvectorsNonlinear operatorsMathematicsdescription
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- ψ -contractions and condensing mappings, under a condition which depends on the infimum k ψ of all k ⩾ 1 for which there exists a k- ψ -contractive retraction of the closed unit ball of the space X onto its boundary.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-05-01 | Nonlinear Analysis: Theory, Methods & Applications |