Existence Theorems

Johannes Jahn ()
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Johannes Jahn: Universität Erlangen-Nürnberg

Chapter Chapter 6 in Vector Optimization, 2011, pp 149-160 from Springer

Abstract: Abstract In this chapter we study assumptions which guarantee that at least one optimal element of a subset of a partially ordered linear space exists. These investigations will be done for the minimality, proper minimality and weak minimality notions. Strongly minimal elements are not considered because this optimality notion is too restrictive.

Keywords: Existence Theorem; Nonempty Subset; Minimal Element; Real Banach Space; Close Convex Cone (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-17005-8_6

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DOI: 10.1007/978-3-642-17005-8_6

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