Applications of Hilbert's projective metric to a class of positive nonlinear operators

DOI10.1016/j.laa.2005.08.024zbMath1092.47053OpenAlexW2008843670MaRDI QIDQ817649

Tzong-Mo Tsai, Chao-Ya Huang, Min-Jei Huang

Publication date: 16 March 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.08.024

zbMATH Keywords

existenceuniquenessnonlinear eigenvalue problempositive operatorcontraction mapping theoremHilbert's projective metrics

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (15)

Fixed point theorems for a class of positive mixed monotone operators ⋮ Eigenvalue problems and fixed point theorems for a class of positive nonlinear operators ⋮ Some generalized fixed point results in a \(b\)-metric space and application to matrix equations ⋮ Hilbert's projective metric on Lorentz cones and Birkhoff formula for Lorentzian compressions ⋮ A coincidence point theorem and its applications to fractional differential equations ⋮ Hilbert's projective metric and nonlinear elliptic problems ⋮ Nonlinear equations based on jointly homogeneous mappings ⋮ Positive eigenvalue-eigenvector of nonlinear positive mappings ⋮ Thompson metric method for solving a class of nonlinear matrix equation ⋮ The investigation on two kinds of nonlinear matrix equations ⋮ Solution of a class of cross-coupled nonlinear matrix equations ⋮ Solving the nonlinear matrix equation \(X = Q + \sum ^{m}_{i=1}M_{i}X^{\delta _{i}}M^{*}_{i}\) via a contraction principle ⋮ Unnamed Item ⋮ Solution of a class of nonlinear matrix equations ⋮ On a class of nonlinear Volterra-Fredholm \(q\)-integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• The Cayley-Hilbert metric and positive operators
• Über monotone Matrixfunktionen
• On solutions of the matrix equation T'AT=A\(^2\)
• Hilbert's metric and positive contraction mappings in a Banach space
• APPLICATIONS OF HILBERT'S PROJECTIVE METRIC TO CERTAIN CLASSES OF NON-HOMOGENEOUS OPERATORS
• Inequalities: theory of majorization and its applications

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