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

DOI10.4064/ap-58-2-185-192zbMath0786.26016OpenAlexW753448919MaRDI QIDQ3141835

Kazimierz Nikodem, Francesca Papalini, Tiziana Cardinali

Publication date: 11 November 1993

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-58-2-185-192

zbMATH Keywords

set-valued functions\(K\)-convexity\(K\)- quasiconvexitystability of convex functions

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Convexity of real functions of several variables, generalizations (26B25)

Related Items (13)

Bernstein-Doetsch type theorems with Tabor type error terms for set-valued maps ⋮ Stability of two types of cubic fuzzy set-valued functional equations ⋮ On the stability of set-valued functional equations with the fixed point alternative ⋮ Set-valued quadratic functional equations ⋮ Fixed point method for set-valued functional equations ⋮ Strongly convex set-valued maps ⋮ Set-Valued Additive Functional Equations ⋮ Hyers-Ulam stability of additive set-valued functional equations ⋮ Unnamed Item ⋮ Set-valued additive \(\rho \)-functional inequalities ⋮ The fixed point alternative and Hyers-Ulam stability of generalized additive set-valued functional equations ⋮ A note on Ulam stability of some fuzzy number-valued functional equations ⋮ On the stability of the generalized cubic set-valued functional equation

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