On Selections of Some Generalized Set-Valued Inclusions

DOI10.1007/978-3-030-31339-5_7zbMath1443.39015OpenAlexW3096486512MaRDI QIDQ3295028

Bahman Hayati, Themistocles M. Rassias, Hamid Khodaei

Publication date: 30 June 2020

Published in: Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-31339-5_7

zbMATH Keywords

selectionset-valued mapinclusion

Mathematics Subject Classification ID

Inclusion and equivalence theorems in summability theory (40D25) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

• On selections of set-valued inclusions in a single variable with applications to several variables
• On selections of generalized convex set-valued maps
• On the stability of additive, quadratic, cubic and quartic set-valued functional equations
• On approximate \(C^*\)-ternary \(m\)-homomorphisms: a fixed point approach
• Hyers-Ulam stability of additive set-valued functional equations
• Selections of set-valued maps satisfying a linear inclusion in a single variable
• Stability of some set-valued functional equations
• On single-valuedness of set-valued maps satisfying linear inclusions
• A functional equation having monomials as solutions
• Stability of quartic functional equations in the spaces of generalized functions
• The properties of functional inclusions and Hyers-Ulam stability
• On approximate homomorphisms: A fixed point approach
• A Property of a Functional Inclusion Connected with Hyers-Ulam Stability
• Additive selections and the stability of the Cauchy functional equation
• An Embedding Theorem for Spaces of Convex Sets
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