Stability results of the functional equation deriving from quadratic function in random normed spaces

DOI10.3934/MATH.2021145OpenAlexW3116878748MaRDI QIDQ2146615

Nazek Alessa, K. Tamilvanan, K. Loganathan, G. Balasubramanian

Publication date: 17 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021145

zbMATH Keywords

fixed point theoryHyers-Ulam stabilityquadratic functional equationrandom normed spaces

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Special maps on metric spaces (54E40) Fuzzy functional analysis (46S40) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (2)

General solution and stability of additive-quadratic functional equation in IRN-space ⋮ Orthogonal stability and nonstability of a generalized quartic functional equation in quasi-\(\beta\)-normed spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability of cubic mappings and quadratic mappings in random normed spaces
• The fixed point method for fuzzy stability of the Jensen functional equation
• On approximation of approximately linear mappings by linear mappings
• On stability of additive mappings
• Variational problem of some quadratic functionals in complex analysis
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Generalized quadratic mappings in several variables
• Quadratic functional equation and inner product spaces
• On a functional equation that has the quadratic-multiplicative property
• Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces
• Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces
• Fuzzy normed spaces and stability of a generalized quadratic functional equation
• On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality
• On the Stability of the Linear Mapping in Banach Spaces
• On the stability of the additive Cauchy functional equation in random normed spaces

This page was built for publication: Stability results of the functional equation deriving from quadratic function in random normed spaces