Stability of the Functional Equation Deriving From Quadratic Function in Banach Space

被引：0
作者：
Amrit [1 ]
Kumar, Anil [2 ]
Kumar, Manoj [1 ,3 ]
机构：
[1] Baba Mastnath Univ, Dept Math, Rohtak 124021, Haryana, India
[2] Maharshi Dayanand Univ, AIJHM Coll, Dept Math, Rohtak 124001, Haryana, India
[3] Maharishi Markandeshwar, Dept Math, Ambala, India
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2024年 / 15卷 / 02期
关键词：
Banach space; Hyers-Ulam stability; Quadratic functional equation; ULAM-RASSIAS STABILITY;
D O I：
10.26713/cma.v15i2.2536
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this manuscript, we introduce a quadratic functional equation of finite variable: & sum;(m)(i=1)phi(2v(i )- & sum;(m )(1 <= i not equal j)v(j)) = (m-7)& sum;(1 <= i<j <= m) phi (v(i) +v(j)) + phi (& sum; (m)(i=1) v(i)) - (m(2) - 9m + 5) & sum;(m)(i=1) phi(v(i)) and examine its Hyers-Ulam stability of this functional equation in Banach space using direct and fixed point method.
引用
收藏
页码：557 / 569
页数：13
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