C*-algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equationopen access
- Authors
- Chaharpashlou, R.; O'Regan, Donal; Park, Choonkil; Saadati, Reza
- Issue Date
- Jul-2020
- Publisher
- SPRINGEROPEN
- Keywords
- Nonlinear random integral equation; Stochastic wave equation; Iterative method; Random operator; Fuzzy normed space; C∗-algebra valued fuzzy set
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, v.2020, no.1, pp.1 - 9
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Volume
- 2020
- Number
- 1
- Start Page
- 1
- End Page
- 9
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/145370
- DOI
- 10.1186/s13662-020-02780-0
- ISSN
- 1687-1839
- Abstract
- In this paper, we consider C-algebra valued fuzzy normed spaces. We study the random integral equation (12c)integral x-cdx+cdu(gamma,tau,d0)d tau =u(gamma ,x,d) which is related to the stochastic wave equation. In addition, using a C-algebra valued fuzzy controller function, we consider its C-algebra valued fuzzy Hyers-Ulam stability.
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