A fixed point approach to stability of functional equations in modular spaces (Q2016306)
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scientific article; zbMATH DE number 6305699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fixed point approach to stability of functional equations in modular spaces |
scientific article; zbMATH DE number 6305699 |
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A fixed point approach to stability of functional equations in modular spaces (English)
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20 June 2014
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\textit{S.-M. Jung} et al. [J. Math. Inequal. 4, No. 2, 191--206 (2010; Zbl 1219.39016)] established the conditional stability of the generalized Jensen functional equation \(f(ax+by)=ag(x)+bh(y)\) on various restricted domains. In the paper under review, the author utilizes the fixed point method to establish the stability of the above functional equation in the setting of modular spaces.
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stability
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Jensen's functional equation
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modular space
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fixed point method
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