Generalized Hyers–Ulam stability of ρ-functional inequalities

DOI10.1186/S13660-023-03047-4MaRDI QIDQ6498622

Sundas Nawaz, Ali Akgül, Afshan Batool, Abdul Bariq

Publication date: 7 May 2024

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Functional equations and inequalities (39Bxx) Other (nonclassical) types of functional analysis (46Sxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Fuzzy topological vector spaces. II
Fuzzy versions of Hyers-Ulam-Rassias theorem
Fuzzy stability of the Jensen functional equation
A fixed point approach to stability of a quadratic equation
Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach
Fixed point methods for the generalized stability of functional equations in a single variable
Hyers-Ulam stability of nonhomogeneous linear differential equations of second order
Subspaces of \(C^ *\)-algebras
On approximation of approximately linear mappings by linear mappings
On stability of additive mappings
Finite dimensional fuzzy normed linear space
Injectivity and operator spaces
Grothendieck's theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck's constants
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 and a problem of Ulam
On the stability of functional equations in Banach spaces
Fuzzy bounded linear operators
Fuzzy normed space of operators and its completeness
Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
Separation of fuzzy normed linear spaces
Hyers-Ulam stability of functional inequalities: a fixed point approach
On the Hyers-Ulam stability of linear mappings
On inequalities associated with the Jordan-von Neumann functional equation
Functional inequalities associated with Jordan-von Neumann-type additive functional equations
Generalized stability of \(C^{\ast}\)-ternary quadratic mappings
Homomorphisms and derivations in \(C^{*}\)-algebras
Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
Stability of a functional inequality associated with the Jordan-von Neumann functional equation
On the stability of the linear transformation in Banach spaces
Cubic and quartic ρ-functional inequalities in fuzzy Banach spaces
On the Abstract Characterization of Operator Spaces
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
ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
On a problem by K. Nikodem
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
Stability of functional equations in several variables
On the stability of the additive Cauchy functional equation in random normed spaces
Functional inequalities in matrix Banach spaces
An inequality, equivalent to the parallelogram equation
On the stability of the quadratic mapping in normed spaces

This page was built for publication: Generalized Hyers–Ulam stability of ρ-functional inequalities