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On concave operators. (English) Zbl 1113.47041

The authors prove that a so-called \(u_0\)-concave operator, defined on a partially ordered Banach space, can include other concave operators, and derive a necessary and sufficient condition for the existence of a unique fixed point of such a \(u_0\)-concave operator.

MSC:

47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
47H10 Fixed-point theorems
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References:

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