Selections of Set-valued Maps Satisfying Some Inclusions and the Hyers–Ulam Stability

DOI10.1007/978-1-4939-1286-5_4zbMath1311.39038OpenAlexW142117355MaRDI QIDQ5249869

Magdalena Piszczek, Janusz Brzdȩk

Publication date: 12 May 2015

Published in: Handbook of Functional Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1286-5_4

zbMATH Keywords

selectionset-valued mapstability of functional equationinclusion

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (5)

Selections of generalized convex set-valued functions satisfying some inclusions ⋮ On selections of set-valued Euler-Lagrange inclusions with applications ⋮ Fixed point theory and the Ulam stability ⋮ On convex-valued G-\(m\)-monomials with applications in stability theory ⋮ On Ulam's type stability of the linear equation and related issues

Cites Work

• On selections of set-valued inclusions in a single variable with applications to several variables
• On an \(n\)-dimensional mixed type additive and quadratic functional equation
• Hyers-Ulam stability of additive set-valued functional equations
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Selections of set-valued maps satisfying a linear inclusion in a single variable
• Stability of some set-valued functional equations
• Additive selections of superadditive set-valued functions
• Affine selections of convex set-valued functions
• On some recent developments in Ulam's type stability
• On the stability of the linear functional equation in a single variable on complete metric groups
• Generalized additive mapping in Banach modules and isomorphisms between \(C^{\ast}\)-algebras
• A recursive algorithm for Bernstein operators of second kind
• A Property of a Functional Inclusion Connected with Hyers-Ulam Stability
• Additive selections and the stability of the Cauchy functional equation
• Functional inclusions on square-symmetric grupoids and Hyers-Ulam stability
• On Selections of Set-Valued Maps Satisfying Some Inclusions in a Single Variable
• Stability of functional equations in several variables
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