FUNCTIONAL INEQUALITIES ASSOCIATED WITH BI-CAUCHY ADDITIVE FUNCTIONAL EQUATIONS
- Authors
- Lu, Gang; Park, Choonkil; Shin, Dong Yun
- Issue Date
- Jan-2014
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Bi-Cauchy additive mapping; Hyers-Ulam stability; Banach space
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.16, no.1, pp.85 - 92
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 16
- Number
- 1
- Start Page
- 85
- End Page
- 92
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/160930
- ISSN
- 1521-1398
- Abstract
- In this paper, we prove the Hyers-Ulam stability for the following functional inequalities: parallel to f(x(1), y(1)) + f(x(2), y(2)) + f(x(3), y(3))parallel to <= parallel to f(x(1) + x(2) + x(3), y(1) + y(2) + y(3))parallel to, (1) parallel to f(x(1), y(1)) + f(x(2), y(2)) + f(x(3), y(3))parallel to <= parallel to 2f (x(1) +x(2) + x(3)/2, y(1) + y(2) + y(3)/2)parallel to, (2) parallel to f(x(1,) y(1)) + f(x(2), y(2)) + 2f(x(3), y(3))parallel to <= parallel to 2f (x(1) + x(2)/2 + x(3), y(1) + y(2)/2 + y(3))parallel to (3) in Banach spaces.
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