Some characterizations of functions generating K-Schur concave sums and of K-concave set-valued functions

Tiziana Cardinali

Published: 1995-09-29

Vol. 9 (1995)

Some characterizations of functions generating K-Schur concave sums and of K-concave set-valued functions

Tiziana Cardinali

Abstract

In this note we establish some characterizations of (single valued) unctions, that assume values in a Banach space, generating K-Schur concave sums. These results improve some theorems obtained in [13] and [11]. Moreover we prove that a set-valued function is K-concave if and only of it is K-t-concave and K-quasi concave (where t is a fixed number in (0,1)). This result improves the theorems obtained in [11], [2], [5] and extends the theorem of [3].

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Cardinali, T. (1995). Some characterizations of functions generating K-Schur concave sums and of K-concave set-valued functions. Annales Mathematicae Silesianae, 9, 17–28. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14201

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Vol. 9 (1995)
Published: 1995-09-29

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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