An additive (α,β)-functional equation and linear mappings in Banach spaces

被引：0
作者：
Park, Choonkil [1 ]
机构：
[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 04763, South Korea
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2016年 / 18卷 / 03期
关键词：
Hyers-Ulam stability; additive; (alpha; beta)-functional equation; C-linear mapping; fixed point method; direct method; complex Banach space; CAUCHY FUNCTIONAL-EQUATION; GENERALIZED STABILITY; FIXED-POINTS;
D O I：
10.1007/s11784-016-0283-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the additive ()-functional equation for all complex numbers with and for a fixed nonzero complex number . Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of this additive ()-functional equation in complex Banach spaces.
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收藏
页码：495 / 504
页数：10
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