Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
- Issue Date
- Apr-2017
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- fuzzy Banach space; additive functional inequality; quadratic functional inequality; fixed point method; Hyers-Ulam stability
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.22, no.4, pp.601 - 612
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 22
- Number
- 4
- Start Page
- 601
- End Page
- 612
- ISSN
- 1521-1398
- Abstract
- In this paper, we solve the following (additive functional inequality N(f(x + y) - f(x) - f(y), t) >= N(f(x + y/2) - 1/2 f(x) - f(y), t) (0.1) and the following quadratic functional inequality N(f (x + y) + f (x - y) - 2f (x) - 2f (y), t) (0.2) >= N (2f (x + y/2) + 2f (x - y/2) - f (y), t) in fuzzy normed spaces. Using the fixed point method, we prove the Hyers-Ulam stability of the additive functional inequality (0.1) and the quadratic functional inequality (0.2) in fuzzy Banach spaces.
- Files in This Item
- Go to Link
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)