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Set-Valued Quasiconvex Functions and their Constant Selections

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Functional Equations and Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 518))

Abstract

Quasiconvex set-valued functions and their constant selections are studied. Under assumption that a convex cone has a nonempty algebraic interior, a set-valued function is K-convex if and only if it is K-quasiconvex and K-midconvex.

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References

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© 2000 Springer Science+Business Media Dordrecht

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Smajdor, W. (2000). Set-Valued Quasiconvex Functions and their Constant Selections. In: Functional Equations and Inequalities. Mathematics and Its Applications, vol 518. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4341-7_19

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  • DOI: https://doi.org/10.1007/978-94-011-4341-7_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5869-8

  • Online ISBN: 978-94-011-4341-7

  • eBook Packages: Springer Book Archive

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