C∗ -Algebra valued fuzzy normed spaces with application of Hyers–Ulam stability of a random integral equation

R. Chaharpashlou; Donal O’Regan; Choonkil Park; Reza Saadati

doi:10.1186/s13662-020-02780-0

C^∗ -Algebra valued fuzzy normed spaces with application of Hyers–Ulam stability of a random integral equation

R. Chaharpashlou
, Donal O’Regan
, Choonkil Park
, Reza Saadati

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper, we consider C^∗-algebra valued fuzzy normed spaces. We study the random integral equation (12c)∫x−cdx+cdu(γ,τ,d0)dτ=u(γ,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.

Original language	English
Article number	326
Number of pages	0
Journal	Advances in Difference Equations
Volume	2020
Issue number	1
DOIs	https://doi.org/10.1186/s13662-020-02780-0
Publication status	Published - 1 Dec 2020

Keywords

C-algebra valued fuzzy set
Fuzzy normed space
Iterative method
Nonlinear random integral equation
Random operator
Stochastic wave equation

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Chaharpashlou, R;O'Regan, D;Park, C;Saadati, R

Access to Document

10.1186/s13662-020-02780-0

Cite this

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abstract = "In this paper, we consider C∗-algebra valued fuzzy normed spaces. We study the random integral equation (12c)∫x−cdx+cdu(γ,τ,d0)dτ=u(γ,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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AU - Chaharpashlou, R.

AU - O’Regan, Donal

AU - Park, Choonkil

AU - Saadati, Reza

PY - 2020/12/1

Y1 - 2020/12/1

N2 - In this paper, we consider C∗-algebra valued fuzzy normed spaces. We study the random integral equation (12c)∫x−cdx+cdu(γ,τ,d0)dτ=u(γ,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.

AB - In this paper, we consider C∗-algebra valued fuzzy normed spaces. We study the random integral equation (12c)∫x−cdx+cdu(γ,τ,d0)dτ=u(γ,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.

KW - C-algebra valued fuzzy set

KW - Fuzzy normed space

KW - Iterative method

KW - Nonlinear random integral equation

KW - Random operator

KW - Stochastic wave equation

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DO - 10.1186/s13662-020-02780-0

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SN - 1687-1839

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JO - Advances in Difference Equations

JF - Advances in Difference Equations

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