Isotone Retractions onto the Positive Cone of the Ordered Euclidean Space

A. B. Németh () and S. Z. Németh ()
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A. B. Németh: Babeş Bolyai University, Faculty of Mathematics and Computer Science
S. Z. Németh: University of Birmingham, School of Mathematics

A chapter in Mathematics Without Boundaries, 2014, pp 381-396 from Springer

Abstract: Abstract The isotone retraction onto the positive cone of an ordered Euclidean space is a continuous retraction onto this cone preserving the order relation this cone engenders. The existence of such a retraction imposes rather strong conditions on the cone. This chapter contains a comprehensive treatment of the problem, reviewing and completing the results of the authors on this theme appeared in the literature.

Keywords: Convex cones; Retractions; Isotone mappings (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1106-6_16

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DOI: 10.1007/978-1-4939-1106-6_16

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