Optimality Notions

Johannes Jahn ()
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Johannes Jahn: Universität Erlangen-Nürnberg

Chapter Chapter 4 in Vector Optimization, 2011, pp 103-114 from Springer

Abstract: Abstract For the investigation of optimal elements of a nonempty subset of a partially ordered linear space one is mainly interested in minimal or maximal elements of this set. But in certain situations it also makes sense to study several variants of these concepts; for example, strongly minimal, properly minimal and weakly minimal elements (or strongly maximal, properly maximal and weakly maximal elements). It is the aim of this first chapter of the second part to present the definition of these optimality notions together with some examples.

Keywords: Linear Space; Convex Cone; Nonempty Subset; Maximal Element; Minimal Element (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-17005-8_4

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