MATHEMATICA BOHEMICA, Vol. 125, No. 3, pp. 323-329 (2000)

Monotone iterative technique and connectedness of the set of solutions

Boris Rudolf

Boris Rudolf, Katedra matematiky FEI STU, Mlynska dolina, 812 19 Bratislava, Slovak Republic, e-mail: rudolf@kmat.elf.stuba.sk

Abstract: 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.

Keywords: order preserving operator, ordered Banach space, structure of the set of fixed points

Classification (MSC2000): 34C25, 47H07, 47H10

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