Stability of multi-additive mappings in \(\beta\)-Banach spaces

DOI10.1016/j.na.2012.03.009zbMath1243.39022OpenAlexW2020192494MaRDI QIDQ423660

Krzysztof Ciepliński

Publication date: 4 June 2012

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.2012.03.009

zbMATH Keywords

stabilitydirect methodfixed point methodgeneralized Hyers-Ulam stability\(\beta \)-normed spacemulti-additive mapping

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (6)

Remarks on hyperstability of the Cauchy functional equation ⋮ On some recent developments in Ulam's type stability ⋮ A new hyperstability result for the multi-Drygas equation via the Brzdȩk's fixed point approach ⋮ Existence and \(\beta\)-Ulam-Hyers stability for a class of fractional differential equations with non-instantaneous impulses ⋮ Remarks on the Hyers-Ulam stability of some systems of functional equations ⋮ On the \(\beta\)-Ulam-Hyers-Rassias stability of nonautonomous impulsive evolution equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Selections of set-valued maps satisfying a linear inclusion in a single variable
• A fixed point approach to stability of functional equations
• A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
• Nearly \((k,s)\)-Fibonacci functional equations in \(\beta\)-normed spaces
• Stability of multi-additive mappings in non-Archimedean normed spaces
• Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
• A conditional exponential functional equation and its stability
• Generalized stability of multi-additive mappings
• Stability of the multi-Jensen equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of functional equations in single variable.
• On the Hyers-Ulam stability of \(\psi\)-additive mappings
• On the generalized Hyers-Ulam stability of multi-quadratic mappings
• On the stability of the linear transformation in Banach spaces
• Stability of Multi-Jensen Mappings in Non-Archimedean Normed Spaces
• SOLUTION OF A VECTOR VARIABLE BI-ADDITIVE FUNCTIONAL EQUATION
• STABILITY OF THE MULTI-JENSEN EQUATION
• ON MULTI-JENSEN FUNCTIONS AND JENSEN DIFFERENCE
• Functions with bounded nth differences
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• Local stability of the functional equation characterizing polynomial functions
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation

This page was built for publication: Stability of multi-additive mappings in \(\beta\)-Banach spaces