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RANDOM APPROXIMATION OF A GENERAL SYMMETRIC EQUATION
- Authors
- Rezaei, Hamid; Park, Choonkil
- Issue Date
- Oct-2015
- Publisher
- IRANIAN MATHEMATICAL SOC
- Keywords
- Hyers-Ulam stability; general symmetric equation; random normed space
- Citation
- BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, v.41, no.5, pp.1147 - 1159
- Indexed
- SCIE
SCOPUS
- Journal Title
- BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
- Volume
- 41
- Number
- 5
- Start Page
- 1147
- End Page
- 1159
- ISSN
- 1735-8515
- Abstract
- In this paper, we prove the Hyers-Ulam stability of the symmetric functional equation f (phi(1)(x, y)) = phi(2)(f (x), f (y)) in random normed spaces. As a consequence, we obtain some random stability results in the sense of Hyers-Ulam-Rassias.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)