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Ulam stability of quadratic n-dimensional functional equations in non-Archimedean quasi-β-normed spacesUlam stability of quadratic n-dimensional functional equations in non-Archimedean quasi--normed spaces
- Other Titles
- Ulam stability of quadratic n-dimensional functional equations in non-Archimedean quasi--normed spaces
- Authors
- Elumalai, Paramasivam; Sangeetha, Sampath; Donganont, Siriluk; Park, Choonkil; Selvan, Arumugam Ponmana
- Issue Date
- Apr-2026
- Publisher
- SPRINGERNATURE
- Keywords
- Direct method (DM); Fixed point method (FPM); Hyers-Ulam (HU) stability; Non-Archimedean (NA) quasi--normed space; Quadratic functional equation (QFE)
- Citation
- JOURNAL OF ANALYSIS, v.34, no.2, pp 1403 - 1419
- Pages
- 17
- Indexed
- SCOPUS
ESCI
- Journal Title
- JOURNAL OF ANALYSIS
- Volume
- 34
- Number
- 2
- Start Page
- 1403
- End Page
- 1419
- ISSN
- 0971-3611
2367-2501
- Abstract
- The main purpose of this article is to investigate the Hyers-Ulam stability of the following n-dimensional quadratic functional equation of the form g (& sum; (k) (i=1) nu(i) ) = & sum;( 1 <= i <= jk) g (nu(i) + nu(j)) - (s - 6) & sum;(k) (i=1) g(nu(i)) -& sum; (k) (i=1) g ( - 2 nu(i) ) in non-Archimedean quasi-beta-normed spaces by using the direct method and fixed point method.
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