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3-VARIABLE ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES.
- Source :
-
Journal of Computational Analysis & Applications . Jan2017, Vol. 22 Issue 1, p684-698. 15p. - Publication Year :
- 2017
-
Abstract
- In this paper, we introduce and investigate the following additiveρ-functional inequalities N(f(x + y + z) - f(x) - f(y) - f(z), t) ⩾ N (ρ(2f(x+y/2+z)-f(x)-f(y)-2f(z)),t) N(2f(x+y/2+z)-f(x)-f(y)-2f(z)),t) ⩾ N (ρ(2f(x+y+z/2)-f(x)-f(y)-f(z)),t), N(f(x+y+z)-f(x)-f(y)-f(z)),t)in fuzzy normed spaces. Furthermore, we prove the Hyers-Ulam stability of the above additive ρ-functional inequalities in fuzzy Banach spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15211398
- Volume :
- 22
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 119381832