New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation

DOI10.1016/j.jmaa.2006.04.069zbMath1115.47044OpenAlexW2005533502MaRDI QIDQ864595

Ke Li, Jin Liang, Ti-Jun Xiao

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.069

zbMATH Keywords

coneconcave operatormixed monotone operatorpositive fixed pointconvex operator

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)

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Cites Work

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• A fixed point theorem for convex and decreasing operators
• One-parameter semigroups of positive operators
• New fixed point theorems of mixed monotone operators and applications
• Coupled fixed points of nonlinear operators with applications
• Fixed points of increasing operators in ordered Banach spaces and applications
• Fixed points of mixed monotone operators with applications

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