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.
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页码：433 / 458
页数：26
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