QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN BANACH SPACES

被引:0
|
作者
Choonkil PARK [1 ]
机构
[1] Research Institute for Natural Sciences, Hanyang University
基金
新加坡国家研究基金会;
关键词
Hyers-Ulam stability; quadratic ρ-functional equation; quadratic ρ-functional inequality; complex Banach space;
D O I
暂无
中图分类号
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号
070104 ;
摘要
In this paper,we solve the quadratic p-functional inequalities‖f(x+y)+f(x-y)-2f(x)-2f(y)‖≤‖ρ(2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y))‖,(0.1)where ρ is a fixed complex number with |ρ| < 1,and‖2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y)‖≤‖ρ(f(x+y)+f(x-y)-2f(x)-2f(y))‖,(0.2)where ρ is a fixed complex number with |ρ| < 1/2.Using the direct method,we prove the Hyers-Ulam stability of the quadratic ρ-functional inequalities(0.1) and(0.2) in complex Banach spaces and prove the Hyers-Ulam stability of quadratic ρ-functional equations associated with the quadratic ρ-functional inequalities(0.1)and(0.2) in complex Banach spaces.
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页码:1501 / 1510
页数:10
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