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The Hyers-Ulam Stability of Cubic Functrional Equations in Fuzzy Banach Spaces

김창일|윤용식
영남수학회 (Youngnam Mathematical Society)|2014.05|East Asian Mathematical Journal|제30권 제3호|pp. 271-281|DOI http://dx.doi.org/10.7858/eamj.2014.017

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참고문헌

키워드

Generalized Hyers-Ulam stabilitycubic functional equationfuzzy normed space
주제분류수학

초록

In this paper, we consider the following cubic functional equation\begin{equation*}\label{}f(3x+y)+f(3x-y)=f(x+2y)+2f(x-y)+2f(3x)-3f(x)-6f(y)\end{equation*}and prove the generalized Hyers-Ulam stability for it in fuzzy normed spaces.

Abstract

In this paper, we consider the following cubic functional equation\begin{equation*}\label{}f(3x+y)+f(3x-y)=f(x+2y)+2f(x-y)+2f(3x)-3f(x)-6f(y)\end{equation*}and prove the generalized Hyers-Ulam stability for it in fuzzy normed spaces.

참고문헌 (14)

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관련 논문AI추천

FUZZY STABILITY OF QUADRATIC-CUBIC FUNCTIONAL EQUATIONS김창일, 윤용식영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호ON THE FUZZY STABILITY OF CUBIC MAPPINGS USING FIXED POINT METHOD고희정한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제4호Fuzzy stability of a cubic-quadratic functional equation: a fixed point approach박춘길, 이상협, 이상훈강원경기수학회 · 한국수학논문집2009 · 제17권 제3호Fuzzy stability of a cubic-quartic functional equation: a fixed point approach박춘길, 신동윤, 장선영대한수학회 · 대한수학회보2011 · 제48권 제3호Quadratic(ρ1, p2)-functional Equation in Fuzzy Banach Spaces신동윤, Siriluk Paokanta한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제1호ON THE FUZZY STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS신동윤, 이정례, 장선영한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제1호

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