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FUZZY STABILITY OF QUADRATIC-CUBIC FUNCTIONAL EQUATIONS

윤용식|김창일
영남수학회 (Youngnam Mathematical Society)|2016.05|East Asian Mathematical Journal|제32권 제3호|pp. 413-423|DOI http://dx.doi.org/10.7858/eamj.2016.031

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참고문헌

키워드

fixed pointfuzzy Banach spacegeneralized Hyers-Ulam stabilityquadratic mappingcubic mapping
주제분류수학

초록

In this paper, we consider the functional equation f(x+2y)-3f(x+y)+3f(x)-f(x-y)-3f(y)+3f(-y)=0 and prove the generalized Hyers-Ulam stability for it when the targetspace is a fuzzy Banach space. The usual method to obtain the stability for mixed type functional equation isto split the cases according to whether the involving mappings are odd or even. Inthis paper, we show that the stability of a quadratic-cubic mapping canbe obtained without distinguishing the two cases.

Abstract

In this paper, we consider the functional equation f(x+2y)-3f(x+y)+3f(x)-f(x-y)-3f(y)+3f(-y)=0 and prove the generalized Hyers-Ulam stability for it when the targetspace is a fuzzy Banach space. The usual method to obtain the stability for mixed type functional equation isto split the cases according to whether the involving mappings are odd or even. Inthis paper, we show that the stability of a quadratic-cubic mapping canbe obtained without distinguishing the two cases.

참고문헌 (23)

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관련 논문AI추천

The Hyers-Ulam Stability of Cubic Functrional Equations in Fuzzy Banach Spaces김창일, 윤용식영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호ON THE STABILITY OF A MIXED TYPE QUADRATIC AND CUBIC FUNCTIONAL EQUATION이양희, 이창주한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제4호ON THE FUZZY STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS신동윤, 이정례, 장선영한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제1호Fuzzy stability of a cubic-quadratic functional equation: a fixed point approach박춘길, 이상협, 이상훈강원경기수학회 · 한국수학논문집2009 · 제17권 제3호ON THE FUZZY STABILITY OF CUBIC MAPPINGS USING FIXED POINT METHOD고희정한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제4호Quadratic(ρ1, p2)-functional Equation in Fuzzy Banach Spaces신동윤, Siriluk Paokanta한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제1호

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