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

• Autorzy: Tiziana Cardinali , Francesca Papalini
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 26B25: Convexity, generalizations
• 54C60: Set-valued maps

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1993
• Tom: 58
• Numer: 2
• Strony: 185-192

Daty

wydano

1993

otrzymano

1992-10-28

poprawiono

1993-01-18

Twórcy

autor

Tiziana Cardinali

• Dipartimento di Matematica dell'Università, via Vanvitelli 1, 06100 Perugia, Italy

autor

Francesca Papalini

• Department of Mathematics, Technical University, Willowa 2, 43-309 Bielsko-Biała, Poland

Bibliografia

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