ON A GENERALIZED DRYGAS FUNCTIONAL EQUATION AND ITS APPROXIMATE SOLUTIONS IN 2-BANACH SPACES

被引:0
|
作者
Hryrou, Mustapha Esseghyr [1 ]
Kabbaj, Samir [1 ]
机构
[1] Univ Ibn Tofail, Fac Sci, Dept Math, BP 133, Kenitra, Morocco
来源
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 05期
关键词
Stability; hyperstability; Drygas functional equation; fixed point method; 2-Banach space; FIXED-POINT THEOREM; QUADRATIC MAPPINGS; ADDITIVE MAPPINGS; STABILITY; HYPERSTABILITY; JENSEN;
D O I
10.46793/KgJMat2305.801H
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce and solve the following generalized Drygas functional equation f (x + ky) + f (x - ky) = 2f(x) + k(2)f(y) + k(2)f(-y),where k is an element of N. Also, we discuss some stability and hyperstability results for the considered equation in 2-Banach spaces by using the fixed point approach.
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页码:801 / 815
页数:15
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