Ulam stability of quadratic n-dimensional functional equations in non-Archimedean quasi-β-normed spaces

Elumalai, Paramasivam; Sangeetha, Sampath; Donganont, Siriluk; Park, Choonkil; Selvan, Arumugam Ponmana

doi:10.1007/s41478-026-01061-5

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Ulam stability of quadratic n-dimensional functional equations in non-Archimedean quasi-β-normed spaces

Ulam stability of quadratic n-dimensional functional equations in non-Archimedean quasi--normed spaces

Elumalai, Paramasivam;
Sangeetha, Sampath;
Donganont, Siriluk;
Park, Choonkil;
Selvan, Arumugam Ponmana

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초록

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.

키워드

Direct method (DM); Fixed point method (FPM); Hyers-Ulam (HU) stability; Non-Archimedean (NA) quasi--normed space; Quadratic functional equation (QFE); APPROXIMATION

제목: Ulam stability of quadratic n-dimensional functional equations in non-Archimedean quasi-β-normed spaces

제목 (타언어): Ulam stability of quadratic n-dimensional functional equations in non-Archimedean quasi--normed spaces

저자: Elumalai, Paramasivam; Sangeetha, Sampath; Donganont, Siriluk; Park, Choonkil; Selvan, Arumugam Ponmana

DOI: 10.1007/s41478-026-01061-5

발행일: 2026-04

유형: Article in press

저널명: Journal of Analysis

권: 34

호: 2

페이지: 1403 ~ 1419