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- Title
ON QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES.
- Authors
CHOONKIL PARK; SUN YOUNG JANG; SUNGSIK YUN
- Abstract
In this paper, we solve the following quadratic ρ-functional inequalities N(f(x+y)+f(x-y)-2f(x)-2f(y)-ρ(2f(x+y/2)+2f(x-y/2)-f(x)-f(y)),t) ≥t/t+φ(x,y)' where ρ is a fixed real number with ρ ≠ 2, and N(2f(x+y/2)+2f(x-y/2)-f(x)-f(y)-ρ(f(x+y)+f(x-y)-2f(x)-2f(y)),t) ≥t/t+φ(x,y), where ρ is a fixed real 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 fuzzy Banach spaces.
- Subjects
NORMED rings; FUZZY sets; FUNCTIONAL equations; MATHEMATICAL inequalities; REAL numbers
- Publication
Journal of Computational Analysis & Applications, 2017, Vol 22, Issue 1, p1189
- ISSN
1521-1398
- Publication type
Article