Hyperstability of a quadratic functional equation with involutions in ultrametric n-Banach spaces via fixed point approach

El Fatini, Mohamed; Almahalebi, Muaadh; Park, Choonkil; Alghamdii, Ahmad M.

doi:10.1007/s41478-025-00916-7

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Hyperstability of a quadratic functional equation with involutions in ultrametric n-Banach spaces via fixed point approach

El Fatini, Mohamed;
Almahalebi, Muaadh;
Park, Choonkil;
Alghamdii, Ahmad M.

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초록

Let X be a normed space and Y be an ulrametric n-Banach space. In this paper, we investigate some hyperstability results for the following quadratic functional equation (Formula presented.) where f:X→Y is a mapping and σ,τ:X→X are involutions. We also examine the hyperstability of the given equation in its inhomogeneous version (Formula presented.) where χ:X×X→Y. Additionally, we elucidate the hyperstability of various special cases of our main results.

키워드

Functional equation; Ultrametric n-Banach space; Stability; Hyperstability; Fixed point theorem; ULAM-RASSIAS STABILITY; HYERS-ULAM; THEOREM; INEQUALITIES

제목: Hyperstability of a quadratic functional equation with involutions in ultrametric n-Banach spaces via fixed point approach

저자: El Fatini, Mohamed; Almahalebi, Muaadh; Park, Choonkil; Alghamdii, Ahmad M.

DOI: 10.1007/s41478-025-00916-7

발행일: 2025-10

유형: Article; Early Access

저널명: JOURNAL OF ANALYSIS

권: 33

호: 5

페이지: 2205 ~ 2223