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A Fixed Point Approach to the Orthogonal Stability of Mixed Type Functional Equations
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In this paper, we investigate the following orthogonally additive-quadratic functional equation f(2x+y)-f(x+2y)-f(x+y)-f(y-x)-f(x)+f(y)+f(2y)=0. and prove the generalized Hyers-Ulam stability for it in orthogonality spaces by using the fixed point method.
Abstract
In this paper, we investigate the following orthogonally additive-quadratic functional equation f(2x+y)-f(x+2y)-f(x+y)-f(y-x)-f(x)+f(y)+f(2y)=0. and prove the generalized Hyers-Ulam stability for it in orthogonality spaces by using the fixed point method.
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관련 논문AI추천
Functional equations in orthogonality spaces박춘길, 신동윤강원경기수학회 · 한국수학논문집2012 · 제20권 제1호Orthogonally additive and orthogonally quadratic functional equation박춘길, 이성진, 이정례강원경기수학회 · 한국수학논문집2013 · 제21권 제1호On the Stability of a Mixed Type Functional Equation이양희, 정순모경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호A Fixed Point Approach to the Stability of a Generalized Quadratic and Additive Functional Equation이양희, 진선숙경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호Stability of Mixed Type Functional Equations with Involution in Non-Archimedean Spaces김창일, 윤용식영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호A Fixed Point Approach to the Stability of an Additive-cubic-quartic Functional Equation이양희한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호
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