HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES

doi:10.1007/s10473-019-0408-y

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (4): 1017-1032.doi: 10.1007/s10473-019-0408-y

HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES

Prondanai KASKASEM¹, Chakkrid KILN-EAM^1,2

1. Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand;
2. Research Center for Academic Excellence in Mathematics, Naresuan University, Thailand

收稿日期:2018-01-03 修回日期:2018-04-10 出版日期:2019-08-25 发布日期:2019-09-12
作者简介:Prondanai KASKASEM,E-mail:prondanaik@hotmail.com;Chakkrid KILN-EAM,E-mail:chakkridk@nu.ac.th

HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES

Prondanai KASKASEM¹, Chakkrid KILN-EAM^1,2

1. Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand;
2. Research Center for Academic Excellence in Mathematics, Naresuan University, Thailand

Received:2018-01-03 Revised:2018-04-10 Online:2019-08-25 Published:2019-09-12

摘要/Abstract

摘要： In this article, we prove hyperstability results of the generalized Cauchy-Jensen functional equation
αf(x+y/α+ z)=f(x) + f(y) + αf(z)
for any fixed positive integer α ≥ 2 in ultrametric Banach spaces by using fixed point method.

关键词: Hyperstability, generalized Cauchy-Jensen functional equation, ultrametric space

Abstract: In this article, we prove hyperstability results of the generalized Cauchy-Jensen functional equation
αf(x+y/α+ z)=f(x) + f(y) + αf(z)
for any fixed positive integer α ≥ 2 in ultrametric Banach spaces by using fixed point method.

Key words: Hyperstability, generalized Cauchy-Jensen functional equation, ultrametric space

中图分类号:

39B52

Prondanai KASKASEM, Chakkrid KILN-EAM. HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES[J]. 数学物理学报(英文版), 2019, 39(4): 1017-1032.

Prondanai KASKASEM, Chakkrid KILN-EAM. HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES[J]. Acta mathematica scientia,Series B, 2019, 39(4): 1017-1032.

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HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES

HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES

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