Fixed points and generalized stability for quadratic and quartic mappings in \({C^*}\)-algebras

DOI10.1007/s11784-015-0251-2zbMath1328.39038OpenAlexW2492845462MaRDI QIDQ901057

Themistocles M. Rassias, Hamid Khodaei, Madjid Eshaghi-Gordji

Publication date: 23 December 2015

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-015-0251-2

zbMATH Keywords

stabilityfixed pointhomogeneous map\({C^*}\)-algebra\({\beta}\)-Banach spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Classical Banach spaces in the general theory (46B25) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52) Approximation by other special function classes (41A30)

Related Items

An additive (\({\alpha, \beta}\))-functional equation and linear mappings in Banach spaces ⋮ Fixed points and additive \(\rho\)-functional equations ⋮ Approximate Generalized Additive-Quadratic Functional Equations on Ternary Banach Algebras ⋮ Stability of additive-quadratic 3D functional equation in modular spaces by direct method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Quartic functional equations
• A fixed point approach to stability of functional equations
• Stability of some set-valued functional equations
• A fixed point technique for investigating the stability of \((\alpha, \beta, \gamma)\)-derivations on Lie \(C^\ast\)-algebras
• Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
• Fixed point methods for the generalized stability of functional equations in a single variable
• A fixed point approach to the stability of a functional equation of the spiral of Theodorus
• A fixed point approach to the stability of a quadratic functional equation in \(C^{\ast}\)-algebras
• Stability of functional equations in single variable.
• A survey of shadowing methods for numerical solutions of ordinary differential equations
• Bounded solutions of a class of difference equations in Banach spaces producing controlled chaos
• Weighted space method for the stability of some nonlinear equations
• The Stability of Certain Functional Equations
• On the Stability of the Linear Mapping in Banach Spaces
• Boundedness in Linear Topological Spaces
• Stability of functional equations in several variables