On selections of generalized convex set-valued maps

DOI10.1007/s00010-013-0219-5zbMath1308.54017OpenAlexW1982284277MaRDI QIDQ483331

Dorian Popa, Daniela Ioana Inoan

Publication date: 16 December 2014

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-013-0219-5

zbMATH Keywords

Hyers-Ulam stabilitybisymmetric operationgeneralized convex set-valued map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (7)

Selections of set-valued functions satisfying the general linear inclusion ⋮ Set-valued solutions of a two-variable functional equation with involutions ⋮ Set-valued quadratic functional equations ⋮ On set-valued solutions of a generalized bi-quadratic functional equation ⋮ New characterizations of the set-valued solutions for a class of functional equations with involutions ⋮ On Selections of Some Generalized Set-Valued Inclusions ⋮ Set-valued solutions of a generalized quadratic functional equation

Cites Work

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• On selections of set-valued inclusions in a single variable with applications to several variables
• Hyers-Ulam stability of additive set-valued functional equations
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• Locally compact set-valued solutions for the general linear equation
• The properties of functional inclusions and Hyers-Ulam stability
• A Property of a Functional Inclusion Connected with Hyers-Ulam Stability
• Multivalued convexity and optimization: A unified approach to inequality and equality constraints
• Hyers–Ulam stability of functional equations with a square-symmetric operation
• Functional inclusions on square-symmetric grupoids and Hyers-Ulam stability

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