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

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

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 φ-2...

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Veröffentlicht in:Mathematics (Basel) 2023-01, Vol.11 (2), p.270
Hauptverfasser: Tamilvanan, Kandhasamy, Alkhaldi, Ali H., Agarwal, Ravi P., Alanazi, Abdulaziz M.
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
fixed point
Functional equations
Hypotheses
Inequality
Mapping
Mathematics
non-Archimedean φ-2-normed space
quadratic-additive functional equation
Stability
Valuation
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Zusammenfassung: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 φ-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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11020270