Fixed points and coupled fixed points for increasing operators with applications to differential inclusions in Banach spaces

DOI10.1007/BF02665221zbMath0823.34022MaRDI QIDQ1804213

Xin-Qi Hu, Shi Sheng Zhang

Publication date: 1 May 1995

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

zbMATH Keywords

differential inclusionperiodic solutionfixed point theoremsdifferential inclusions in Banach spacesincreasing multimaps

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Set-valued operators (47H04) Ordinary differential inclusions (34A60) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

• Monotone iterative technique for differential equations in a Banach space
• Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming
• Existence theorems of coupled fixed points
• Coupled fixed points of nonlinear operators with applications
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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