Approximately quintic and sextic mappings form \(r\)-divisible groups into Šerstnev probabilistic Banach spaces: fixed point method
DOI10.1155/2011/572062zbMath1237.39031OpenAlexW2121915210WikidataQ58655515 ScholiaQ58655515MaRDI QIDQ764558
Yeol Je Cho, Hamid Majani, Madjid Eshaghi-Gordji, Mohammad Bagher Ghaemi
Publication date: 13 March 2012
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2011/572062
stabilitysystemsfixed point methoddivisible groupsadditive-quadratic-cubic functional equationsSherstnev probabilistic Banach spaces
Stability, separation, extension, and related topics for functional equations (39B82) Probabilistic methods in Banach space theory (46B09) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quartic functional equations
- On approximate additive-quartic and quadratic-cubic functional equations in two variables on Abelian groups
- Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
- Quadratic-quartic functional equations in RN-spaces
- Stability of an additive-cubic-quartic functional equation
- Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces
- Approximately \(J^*\)-homomorphisms: a fixed point approach
- Generalized Ulam-Hyers stability of Jensen functional equation in Šerstnev PN spaces
- On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations
- Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach
- Solution and stability of a mixed type additive, quadratic, and cubic functional equation
- Stability of mixed type cubic and quartic functional equations in random normed spaces
- On stability of additive mappings
- On the definition of a probabilistic normed space
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the stability of functional equations in Banach spaces
- On the Hyers-Ulam stability of \(\psi\)-additive mappings
- The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
- Generalized contraction mapping principles in probabilistic metric spaces
- Quadratic functional equation and inner product spaces
- Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
- The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces
- On the stability of \(J^*\)-derivations
- On the stability of the linear transformation in Banach spaces
- APPROXIMATELY QUINTIC AND SEXTIC MAPPINGS ON THE PROBABILISTIC NORMED SPACES
- STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS
- Proprieta’ locali e approssimazione di operatori
- On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers-Ulam-Rassias stability of Jensen’s equation and its application
- On an approximate automorphism on a $C^{*}$-algebra
- ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION
- Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)]
- A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras
- HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION
- A fixed point theorem of the alternative, for contractions on a generalized complete metric space
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- Approximate homomorphisms
- Stability of functional equations in several variables
- Stability of the quadratic equation of Pexider type
- On the stability of the quadratic mapping in normed spaces
This page was built for publication: Approximately quintic and sextic mappings form \(r\)-divisible groups into Šerstnev probabilistic Banach spaces: fixed point method