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Mathematica Bohemica
Article . 2000 . Peer-reviewed
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zbMATH Open
Article . 2000
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Monotone iterative technique and connectedness of the set of solutions

Authors: Rudolf, Boris;

Monotone iterative technique and connectedness of the set of solutions

Abstract

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.

Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Published in a Diamond OA journal