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

页码：557 / 569

页数：13

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