Selections of set-valued maps satisfying a linear inclusion in a single variable

DOI10.1016/j.na.2010.08.047zbMath1205.39025OpenAlexW2042871800MaRDI QIDQ603044

Bing Xu, Dorian Popa, Janusz Brzdȩk

Publication date: 5 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.08.047

zbMATH Keywords

set-valued mappingsfunctional equationHyers-Ulam stabilityselectionBanach spacefunctional inclusion

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) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items

Selections of set-valued functions satisfying the general linear inclusion, Remarks on stability and non-stability of the linear functional equation of the first order, Selections of generalized convex set-valued functions satisfying some inclusions, On selections of set-valued Euler-Lagrange inclusions with applications, A fixed point theorem and the Hyers-Ulam stability in Riesz spaces, On selections of set-valued inclusions in a single variable with applications to several variables, On the stability of set-valued functional equations with the fixed point alternative, On some recent developments in Ulam's type stability, The properties of functional inclusions and Hyers-Ulam stability, Stability of multi-additive mappings in \(\beta\)-Banach spaces, On Selections of Some Generalized Set-Valued Inclusions, On convex-valued G-\(m\)-monomials with applications in stability theory, On the stability of additive, quadratic, cubic and quartic set-valued functional equations, Set-valued dynamics related to generalized Euler-Lagrange functional equations, On the stability of the linear functional equation in a single variable on complete metric groups, Hyers-Ulam stability of the linear differential operator with nonconstant coefficients, Unnamed Item, Selections of Set-valued Maps Satisfying Some Inclusions and the Hyers–Ulam Stability

Cites Work

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• On the stability of functional equations
• A new approach to the stability of linear functional operators
• Additive selections of superadditive set-valued functions
• Hyers-Ulam stability for linear equations of higher orders
• Functional equation \(f(x)=pf(x - 1) - qf(x - 2)\) and its Hyers-Ulam stability
• Note on nonstability of the linear recurrence
• Stability of the multi-Jensen equation
• Convex analysis and measurable multifunctions
• Stability of functional equations in single variable.
• Estimates to the stability of functional equations
• Stability of the Cauchy functional equation in metric groupoids
• Sur la séparation des ensembles convexes
• Hyers--Ulam--Rassias stability of a linear recurrence
• A Property of a Functional Inclusion Connected with Hyers-Ulam Stability
• Functional inclusions on square-symmetric grupoids and Hyers-Ulam stability
• On the Stability of the Linear Functional Equation