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A Coupled Random Fixed Point Result With Application in Polish Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.11, No. 1)Publication Date: 2018-08-01
Authors : Rashwan Ahmed Rashwan; Hasanen Abuel-Magd Hammad;
Page : 99-113
Keywords : Coupled random fixed point; $varphi $-contraction; Polish space; Random nonlinear integral equations;
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Abstract
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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Last modified: 2019-04-28 14:06:53