Affiliations: [a] Department of Mathematics & Statistics, Faculty of Science, Mu’tah University, Al-Karak, Jordan
| [b] Department of Mathematics-Faculty of Science-University of Tabuk, Tabuk, Saudi Arabia
Correspondence:
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Corresponding author. M.H.M. Rashid, Department of Mathematics & Statistics, Faculty of Science, P.O. Box 7, Mu’tah University, Al-Karak, Jordan. E-mail: [email protected].
Abstract: In this paper, we introduce a new fuzzy contraction mapping and prove that such mappings have fixed point in τ-complete fuzzy metric spaces. As an application, we shall utilize the results obtained to show the existence and uniqueness of random solution for the following random linear random operator equation. Moreover, we shall show the existence and uniqueness of the solutions for nonlinear Volterra integral equations on a kind of particular fuzzy metric space.
Keywords: Random fixed point, random operator, random operator equation, contractive mapping, fixed point, t-norm, fuzzy metric space, non-archimedean fuzzy metric space
