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ArticleOriginal scientific text

Title

Some results on stability and on characterization of K-convexity of set-valued functions

Authors 1, 2

Affiliations

  1. Dipartimento di Matematica dell'Università, via Vanvitelli 1, 06100 Perugia, Italy
  2. Department of Mathematics, Technical University, Willowa 2, 43-309 Bielsko-Biała, Poland

Abstract

We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.

Keywords

ENG
set-valued functions, K-convex (K-midconvex, K-quasiconvex) set-valued functions, Ulam-Hyers stability

Bibliography

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Annales Polonici Mathematici
1993/58/2
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Pages:
185-192
Main language of publication
English
Received
1992-10-28
Accepted
1993-01-18
Published
1993
Exact and natural sciences