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Optimality Notions

In: Vector Optimization

Author

Listed:
  • Johannes Jahn

    (Universität Erlangen-Nürnberg)

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.

Suggested Citation

  • Johannes Jahn, 2011. "Optimality Notions," Springer Books, in: Vector Optimization, chapter 0, pages 103-114, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-17005-8_4
    DOI: 10.1007/978-3-642-17005-8_4
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