Non-Archimedean and random HUR-approximation of a Cauchy-Jensen additive mapping
DOI10.1186/1029-242X-2014-209zbMath1309.39019WikidataQ59322121 ScholiaQ59322121MaRDI QIDQ2258663
Najmeh Sahami, Hassan Azadi Kenary, Chun-Gil Park
Publication date: 26 February 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
direct methodfixed point methodnon-Archimedean normed spaceCauchy-Jensen additive functional equationrandom normed spacesHyers-Ulam-Rassias approximationHyers-Ulam-Rassias stabilty
Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Functional analysis in probabilistic metric linear spaces (46S50)
Cites Work
- Nonlinear \(\mathcal L\)-random stability of an ACQ functional equation
- Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations
- On the representation of non-Archimedean objects
- Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach
- On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces
- Quadratic-quartic functional equations in RN-spaces
- Random stability of an additive-quadratic-quartic functional equation
- Stability of cubic and quartic functional equations in non-Archimedean spaces
- Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces
- A note to paper ``On the stability of cubic mappings and quartic mappings in random normed spaces
- Stability of mixed type cubic and quartic functional equations in random normed spaces
- On some non-Archimedian spaces of Alexandroff and Urysohn
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- The problem of S. M. Ulam for approximately multiplicative mappings
- On the stability of functional equations in Banach spaces
- Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
- Stability of the Cauchy functional equation over \(p\)-adic fields
- On the stability of the linear transformation in Banach spaces
- On a Local Stability of the Jensen Functional Equation
- Proprieta’ locali e approssimazione di operatori
- On the Stability of the Linear Mapping in Banach Spaces
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- On the stability of the additive Cauchy functional equation in random normed spaces
- 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
This page was built for publication: Non-Archimedean and random HUR-approximation of a Cauchy-Jensen additive mapping