On the existence and uniqueness theorems of solutions for the systems of mixed monotone operator equations with applications

DOI10.1007/BF02661986zbMath0801.47041MaRDI QIDQ1309135

Weiping Guo, Shi Sheng Zhang

Publication date: 24 November 1994

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

zbMATH Keywords

existenceuniquenesssystems of functional equationssystems of nonlinear integral equationsdynamic programming of multistage decision processesnon-symmetric iterative approximationsystems of mixed monotone operator equations

Mathematics Subject Classification ID

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (3)

Extremal mild solutions of fractional evolution equation with mixed monotone impulsive conditions ⋮ Estimating the inverse autocorrelation function from outlier contaminated data ⋮ Existence theorems of solutions for a system of nonlinear inclusions with an application

Cites Work

• Unnamed Item
• Some existence theorems for functional equations arising in dynamic programming
• 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
• Some existence theorems of common and coincidence solutions for a class of systems of functional equations arising in dynamic programming
• Functional equations in dynamic programming
• A note on the solution of a class of functional equations
• Coupled fixed points of nonlinear operators with applications

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