Fixed point theorems for a class of mixed monotone operators

DOI10.4171/ZAA/1160zbMath1065.47060MaRDI QIDQ1431138

Zhandong Liang, Ling-Ling Zhang, Sheng-Jia Li

Publication date: 27 May 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

conefixed pointBanach spacemixed monotone operator

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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Cites Work

• A fixed point theorem for mixed monotone operators with applications
• 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
• Iterative method for coupled quasi-solutions of mixed monotone operator equations
• Thompson's metric and mixed monotone operators
• Existence theorems of coupled fixed points
• Coupled fixed points of nonlinear operators with applications
• Fixed points of mixed monotone operators with applications
• Existence and uniqueness of positive fixed points for mixed monotone operators and applications
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