THE FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE (α, β)-FUNCTIONAL EQUATION

Yun, Sungsik; Park, Choonkil; Kimk, Hee Sik

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THE FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE (α, β)-FUNCTIONAL EQUATION

Yun, Sungsik;
Park, Choonkil;
Kimk, Hee Sik

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초록

In this paper, we solve the additive (alpha, beta)-functional equation f(x) + f(y) + 2f(z) = alpha f(beta(x + y + 2z)), (0.1) where alpha,beta are fixed real or complex numbers with alpha not equal 4 and alpha beta = 1. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (alpha,beta)-functional equation (0.1) in Banach spaces.

키워드

Hyers-Ulam stability; additive (alpha, beta)-functional equation; fixed point method; direct method; Banach space; CAUCHY FUNCTIONAL-EQUATION; ULAM-RASSIAS STABILITY; ASTERISK-HOMOMORPHISMS; SUPERSTABILITY

제목: THE FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE (α, β)-FUNCTIONAL EQUATION

저자: Yun, Sungsik; Park, Choonkil; Kimk, Hee Sik

발행일: 2017-11

유형: Article

저널명: Journal of Computational Analysis and Applications

권: 23

호: 6

페이지: 1008 ~ 1015