QUADRATIC rho-FUNCTIONAL INEQUALITIES IN FUZZY BANACH SPACES
- Title
- QUADRATIC rho-FUNCTIONAL INEQUALITIES IN FUZZY BANACH SPACES
- Author
- 박춘길
- Keywords
- fuzzy Banach space; quadratic rho-functional inequality; fixed point method; Hyers-Ulam stability
- Issue Date
- 2017-03
- Publisher
- EUDOXUS PRESS
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 22, no. 3, page. 527-537
- Abstract
- In this paper, we solve the following quadratic rho-functional inequalities N (f (x + y) + f(x - y) - 2f(x) - 2f(y) - rho(2f(x+y/2) + 2f(x-y/2) - f(x) - f(y)), t) >= t/t + phi(x, y), (0.1) where rho is a fixed real number with rho not equal 2, and N (2f(x+y/2) + 2f(x-y/2) - f(x) - f(y) - rho(f(x + y) + f(x - y) - 2f(x) - 2f(y)), t) >= t/t+phi(x,y), (0.2) where rho is a fixed real number with rho not equal 1/2. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic rho-unctional inequalities (0.1) and (0.2) in fuzzy Banach spaces.
- URI
- http://www.eudoxuspress.com/images/JOCAAA-VOL-22-2017-ISSUE-III.pdfhttps://repository.hanyang.ac.kr/handle/20.500.11754/113423
- ISSN
- 1521-1398; 1572-9206
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
There are no files associated with this item.
- Export
- RIS (EndNote)
- XLS (Excel)
- XML