On selections of set-valued inclusions in a single variable with applications to several variables

DOI10.1007/s00025-012-0275-5zbMath1277.39032OpenAlexW2031993345MaRDI QIDQ370796

Magdalena Piszczek

Publication date: 19 September 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0275-5

zbMATH Keywords

metric spaceselectionset-valued mapinclusion

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) General theory of functional equations and inequalities (39B05)

Related Items

Selections of set-valued functions satisfying the general linear inclusion ⋮ 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 some recent developments in Ulam's type stability ⋮ On Selections of Some Generalized Set-Valued Inclusions ⋮ On selections of generalized convex set-valued maps ⋮ On convex-valued G-\(m\)-monomials with applications in stability theory ⋮ An extension of the Rådström cancellation theorem to cornets ⋮ On Ulam's type stability of the linear equation and related issues ⋮ Selections of Set-valued Maps Satisfying Some Inclusions and the Hyers–Ulam Stability

Cites Work

• Selections of set-valued maps satisfying a linear inclusion in a single variable
• Generalized stability of the Cauchy functional equation
• Hyers-Ulam stability of functional equations in several variables
• The properties of functional inclusions and Hyers-Ulam stability
• A Property of a Functional Inclusion Connected with Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• Functional inclusions on square-symmetric grupoids and Hyers-Ulam stability
• An Embedding Theorem for Spaces of Convex Sets
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
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