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FUZZY FUNCTIONAL INEQUALITIES
- Authors
- Cho, Yeol Je; Park, Choonkil; Saadati, Reza
- Issue Date
- Feb-2011
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- fuzzy Banach space; additive functional inequality; additive functional equation; generalized Hyers-Ulam stability
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.13, no.2, pp.305 - 320
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 13
- Number
- 2
- Start Page
- 305
- End Page
- 320
- ISSN
- 1521-1398
- Abstract
- In this paper, we investigate the following functional inequalities f(x)+f(y)+ f(z)parallel to <= parallel to f(x+ z)parallel to (0,1) and f(x)+f(y)+ 2f(z)parallel to <= parallel to 2f(x+y)/2 + z)parallel to (0,2) in fuzzy normed vector spaces and prove the generalized Hyers-Ulam stability of the functional inequalities (0.1) and (0.2) in fuzzy normed vector spaces in the spirit of the Th.M. Rassias stability approach.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)