Positive eigenvectors of wedge maps

DOI10.1007/BF01790538zbMath0618.47052MaRDI QIDQ1822342

Mario Martelli

Publication date: 1986

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

spectral radiusessential spectrumeigenvectors of positively homogeneous, order preserving and noncompact maps, acting on conesexistence of positive eigenvalues and corresponding eigenvectors for maps acting on wedges or cones of Banach spacesquasi-normality constant

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (6)

Nonlinear and semilinear spectrum for asymptotically linear or positively homogeneous operators ⋮ On Boundary Conditions for Wedge Operators on Radial Sets ⋮ Eigenvalue problems and fixed point theorems for a class of positive nonlinear operators ⋮ Nonzero solutions of nonlinear equations involving compact perturbations of accretive operators in Banach spaces ⋮ On the eigenvalue problem for perturbations of nonlinear accretive and monotone operators in banach spaces ⋮ Random approximations and random fixed point theorems for random 1-setn-contractive non-self-maps in abstract cones

Cites Work

• Unnamed Item
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• Unnamed Item
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• Convexity of Chebyshev sets
• Set-valued transformations of the unit sphere
• On the solvability of nonlinear operator equations in normed spaces
• The fixed point index for local condensing maps
• Spectral properties of certain linear noncompact operators
• Punti uniti in trasformazioni a codominio non compatto
• Linear Operators in Complete Positive Cones
• Quasinormal cones in Banach spaces
• Unbounded nontrivial branches of eigenfunctions for nonlinear equations
• A fixed point theorem for a class of multi-valued continuously differentiable maps
• Positive eigenvectors of k-set contractions
• An elementary approach to boundary value problems at resonance
• On the solvability of x∈Tx+λFx in quasinormal cones with T and F k-set-contractive
• A fixed point theorem for α-condensing maps on a sphere

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