Document Type : Research Paper
1 Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.
2 Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.
In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.
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