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QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY BANACH SPACES
- Authors
- Park, Choonkil; Jang, Sun Young
- Issue Date
- Mar-2017
- Publisher
- Kluwer Academic Publishers
- Keywords
- fuzzy Banach space; quadratic rho-functional inequality; fixed point method; Hyers-Ulam stability
- Citation
- Journal of Computational Analysis and Applications, v.22, no.3, pp 527 - 537
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 22
- Number
- 3
- Start Page
- 527
- End Page
- 537
- ISSN
- 1521-1398
1572-9206
- 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.
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