A FIXED POINT THEOREM IN ULTRAMETRIC n-BANACH SPACES AND HYPERSTABILITY RESULTS

被引：1

作者：

Almahalebi, Muaadh ^{[1
]}

Al-ali, Sadeq ^{[1
]}

Hryrou, Mustapha E. ^{[1
]}

Elkettani, Youssfi

机构：

[1] Univ Ibn Tofail, Fac Sci, Dept Math, Kenitra, Morocco

来源：

FIXED POINT THEORY | 2023年 / 24卷 / 02期

关键词：

Fixed point theorem; functional equations; ultrametric n-Banach space; stability; hyperstability; JENSEN FUNCTIONAL-EQUATION; ULAM-RASSIAS STABILITY;

D O I：

10.24193/fpt-ro.2023.2.01

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a general fixed point theorem for ultrametric n-Banach spaces. We also show its applications in proving the hyperstability, in the sense of Gavrut,a, of the following monomial functional equation & sigma;s k =0 (-1)s-kCksf(kx+y) = s!f(x), where Cks = si (s-k)iki and k, s & ISIN; N such that s & GE; k.

引用

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页码：433 / 458

页数：26

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