Generalized functional inequalities in Banach spaces

Fixed-point theorems (47H10) 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 inequalities, including subadditivity, convexity, etc. (39B62) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Non-Archimedean valued fields (12J25)

Cites Work

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On a functional equation of trigonometric type
Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces
Hyers-Ulam stability for linear equations of higher orders
A Mazur--Ulam theorem in non-Archimedean normed spaces
A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
A linear functional equation of third order associated with the Fibonacci numbers
On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions
Functional inequalities in non-Archimedean normed spaces
On inequalities associated with the Jordan-von Neumann functional equation
Stability of two types of cubic functional equations in non-archimedean spaces
On the stability of the linear transformation in Banach spaces
Stability of Quartic Mappings in Non-Archimedean Normed Spaces
Stability of functional equations in non-Archimedean spaces
Proprieta’ locali e approssimazione di operatori
On the Stability of the Linear Mapping in Banach Spaces
Classes of transformations and bordering transformations
Remarks on the stability of functional equations
Stability of functional equations in several variables
Hyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functions
On stability of the general linear equation
On the stability of the quadratic mapping in normed spaces

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