4.7 Article

Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy ?-2-Normed Spaces and Non-Archimedean Banach Spaces

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MATHEMATICS
卷 11, 期 2, 页码 -

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MDPI
DOI: 10.3390/math11020270

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non-Archimedean phi-2-normed space; fixed point; quadratic-additive functional equation

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This paper introduces a new type of generalized mixed-type quadratic-additive functional equation and obtains its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy phi-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches, considering two cases: even mapping and odd mapping.
In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy phi-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping.

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