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- Title
QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY BANACH SPACES.
- Authors
CHOONKIL PARK; SUN YOUNG JANG
- Abstract
In this paper, we solve the following quadratic ρ-functional inequalities N (f(x + y) + f(x -y)- 2 f(x) - 2 f(y) - ρ (2f(x+y/2)+ 2f (x-y/2) - f(x) - f(y)) , t) ⩾ t/t+φ(x,y) , (0.l) where ρ is a fixed real number with ρ ≠1/2, 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) ’ (0.2) where ρ is a fixed real number with ρ ≠ 1/2. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic ρ-functional inequalities (0.1) and (0.2) in fuzzy Banach spaces.
- Subjects
TOPOLOGY; BANACH spaces; VECTOR spaces; FUZZY sets; REAL numbers
- Publication
Journal of Computational Analysis & Applications, 2017, Vol 22, Issue 1, p527
- ISSN
1521-1398
- Publication type
Article