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Inequalities related to isotonicity of projection and antiprojection operators
Department of Mathematics and Computer Science, Royal Military College of Canada.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
1998 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 1, no 1, 85-97 p.Article in journal (Refereed) Published
Abstract [en]

The metric projection operator is an important tool in numerical analysis, optimization, variational inequalities and complementarity problems and has been considered from the point of view of isotonicity, with respect to an ordering compatible with the vector structure on Hilbert spaces and Banach spaces. In this paper, the authors study some inequalities related to the isotonicity of the metric projection operator onto a closed convex set in an ordered Banach space. The concept of antiprojection operator onto a compact nonempty subset of a Hilbert space is introduced and the relationship between the new inequality obtained by the authors and the isotonicity of such an operator is also discussed.

Place, publisher, year, edition, pages
1998. Vol. 1, no 1, 85-97 p.
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URN: urn:nbn:se:ltu:diva-13823Local ID: d1d7d180-a171-11db-8975-000ea68e967bOAI: diva2:986776
Godkänd; 1998; 20070111 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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