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.
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© 2011 Springer-Verlag Berlin Heidelberg
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Jahn, J. (2011). Existence Theorems. In: Vector Optimization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17005-8_6
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DOI: https://doi.org/10.1007/978-3-642-17005-8_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17004-1
Online ISBN: 978-3-642-17005-8
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