Hyers-Ulam stability of a generalized additive set-valued functional equation

DOI10.1186/1029-242X-2013-101zbMath1282.39030WikidataQ59293654 ScholiaQ59293654MaRDI QIDQ2636707

Young Cho, Sun Jang, Chun-Gil Park

Publication date: 31 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

coneHyers-Ulam stabilityconvex setclosed setgeneralized additive set-valued functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (6)

Stability of two types of cubic fuzzy set-valued functional equations ⋮ Unnamed Item ⋮ On the stability of additive, quadratic, cubic and quartic set-valued functional equations ⋮ Unnamed Item ⋮ On the stability of the generalized cubic set-valued functional equation ⋮ On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces

Cites Work

• Hyers-Ulam stability of additive set-valued functional equations
• Stability of some set-valued functional equations
• Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Birkhoff integral for multi-valued functions
• Integrals of set-valued functions
• On the stability of the linear transformation in Banach spaces
• On the Existence of General Equilibrium for a Competitive Market
• Existence of an Equilibrium for a Competitive Economy
• On the Stability of the Linear Functional Equation

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