Fixed points and stability for functional equations in probabilistic metric and random normed spaces

DOI10.1155/2009/589143zbMath1187.39033OpenAlexW2035224625WikidataQ59219565 ScholiaQ59219565MaRDI QIDQ2381017

Viorel Radu, Liviu Cădariu

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/589143

zbMATH Keywords

linear functional equationsprobabilistic metric spacesUlam-Hyers stabilitygeneralized equation of the square rootspiral generalized gamma equations

Mathematics Subject Classification ID

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)

Related Items (17)

A fixed point approach to Ulam-Hyers stability of duodecic functional equation in quasi-\(\beta\)-normed spaces ⋮ Unnamed Item ⋮ On the stability of a general mixed additive-cubic functional equation in random normed spaces ⋮ Unnamed Item ⋮ Intuitionistic Fuzzy Stability of an Finite Dimensional Cubic Functional Equation ⋮ Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations ⋮ Stability of functional equations in matrix random normed spaces: a fixed point approach ⋮ Stability of two variable pexiderized quadratic functional equation in intuitionistic fuzzy Banach spaces ⋮ Unnamed Item ⋮ A fixed point approach to the stability of quintic and sextic functional equations in quasi-\(\beta \)-normed spaces ⋮ On random topological structures ⋮ Ulam-Hyers stability of undecic functional equation in quasi-\(\beta\)-normed spaces: fixed point method ⋮ Stability property of functional equations in modular spaces: a fixed-point approach ⋮ A fixed point approach to the Hyers-Ulam-Rassias stability problem of pexiderized functional equation in modular spaces ⋮ Approximate quadratic-additive mappings in fuzzy normed spaces ⋮ On Ulam's type stability of the linear equation and related issues ⋮ Unnamed Item

Cites Work

• A fixed point approach to stability of a quadratic equation
• Generalization of functional equation for the square root spiral
• Fixed point methods for the generalized stability of functional equations in a single variable
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of functional equations in single variable.
• On the stability of generalized gamma functional equation
• Generalized contraction mapping principles in probabilistic metric spaces
• Hyers-Ulam stability of functional equations in several variables
• The Stability of Certain Functional Equations
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• Classes of transformations and bordering transformations

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