
Summary: The paper deals with the properties of a monotone operator defined on a subset of an ordered Banach space. The structure of the set of fixed points between the minimal and maximal ones is described.
Fixed-point theorems, ordered Banach space, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, order preserving operator, fixed points between the minimal and maximal ones, Ordered normed spaces, structure of the set of fixed points, connectedness of the set of solutions
Fixed-point theorems, ordered Banach space, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, order preserving operator, fixed points between the minimal and maximal ones, Ordered normed spaces, structure of the set of fixed points, connectedness of the set of solutions
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