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.
CITATION STYLE
Németh, A. B., & Németh, S. Z. (2014). Isotone retractions onto the positive cone of the ordered Euclidean space. In Mathematics Without Boundaries: Surveys in Pure Mathematics (pp. 381–396). Springer New York. https://doi.org/10.1007/978-1-4939-1106-6_16
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