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Fixed points for discontinuous monotone operators. (English) Zbl 1197.47068

The authors obtain some existence theorems of the maximal and minimal fixed points for increasing operators on an order interval in an ordered topological space. An application to differential equations is also given.

MSC:

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

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