Positive fixed points for semipositone operators in ordered Banach spaces and applications

DOI10.1155/2013/406727zbMath1290.47051OpenAlexW1996331693WikidataQ58916195 ScholiaQ58916195MaRDI QIDQ369923

Zengqin Zhao, Xinsheng Du

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/406727

zbMATH Keywords

monotone operatorspositive operatorsfixed-point theoremsordered normed spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

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• Higher order semipositone multi-point boundary value problems on time scales
• On \(\alpha\)-convex operators
• Multiple fixed points of a sum operator and applications
• Positive solutions to semi-positone second-order three-point problems on time scales
• Fixed points of \(\tau -\varphi\)-convex operators and applications
• Semi-positone nonlocal boundary value problems of arbitrary order
• Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations
• Fixed point theorems for \(\tau -\varphi \)-concave operators and applications
• Existence and uniqueness of fixed points for some mixed monotone operators
• Fixed points of generalized e-concave (generalized e-convex) operators and their applications
• Remarks on \(u_{0}\)-positive operators
• Positive solutions for third order semipositone boundary value problems
• Eigenvalues of semi-positone Hammerstein integral equations and applications to boundary value problems
• Structure of positive solution sets of semi-positone singular boundary value problems
• APPLICATIONS OF HILBERT'S PROJECTIVE METRIC TO CERTAIN CLASSES OF NON-HOMOGENEOUS OPERATORS
• Positive solutions of semi-positone Hammerstein integral equations and applications

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