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

页码：433 / 458

页数：26

共 50 条

[31] A fixed point theorem in locally convex spaces
Kozlov, Vladimir
Thim, Johan
Turesson, Bengt Ove
COLLECTANEA MATHEMATICA, 2010, 61 (02) : 223 - 239
[32] On the solution of the traumatic avoidance learning model approached by the Banach fixed point theorem
Turab, Ali
Sintunavarat, Wutiphol
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (02)
[33] Generalized hyperstability of a Drygas functional equation on a restricted domain using Brzdęk’s fixed point theorem
Iz-iddine EL-Fassi
Journal of Fixed Point Theory and Applications, 2017, 19 : 2529 - 2540
[34] Fixed Point Results in Quasimetric Spaces
Abdul Latif
Saleh A Al-Mezel
Fixed Point Theory and Applications, 2011
[35] Some topological properties and fixed point results in cone metric spaces over Banach algebras
Huaping Huang
Guantie Deng
Stojan Radenović
Positivity, 2019, 23 : 21 - 34
[36] A NEW FIXED POINT THEOREM IN MODULAR METRIC SPACES
Mutlu, Ali
Ozkan, Kubra
Gurdal, Utku
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (04): : 472 - 483
[37] A GENERALIZATION OF THE CARISTI FIXED POINT THEOREM IN METRIC SPACES
Cardinali, Tiziana
Rubbioni, Paola
FIXED POINT THEORY, 2010, 11 (01): : 3 - 10
[38] A Common Fixed Point Theorem in Fuzzy Metric Spaces
Saadati, Reza
Yousefi, Shahriar
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2006, 4 (J06): : 84 - 87
[39] Fixed point theorems in ordered Banach spaces via quasilinearization
Lakshmikantham, V.
Carl, S.
Heikkila, S.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 3448 - 3458
[40] Hyperstability results for a generalized radical cubic functional equation related to additive mapping in non-Archimedean Banach spaces
Almahalebi, Muaadh
Charifi, Ahmed
Park, Choonkil
Kabbaj, Samir
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)

← 1 2 3 4 5 →