Rashwan, R., Hammad, H. (2017). A coupled random fixed point result with application in polish spaces. Sahand Communications in Mathematical Analysis, (), -.

Rashwan Ahmed Rashwan; Hasanen Abuel-Magd Hammad. "A coupled random fixed point result with application in polish spaces". Sahand Communications in Mathematical Analysis, , , 2017, -.

Rashwan, R., Hammad, H. (2017). 'A coupled random fixed point result with application in polish spaces', Sahand Communications in Mathematical Analysis, (), pp. -.

Rashwan, R., Hammad, H. A coupled random fixed point result with application in polish spaces. Sahand Communications in Mathematical Analysis, 2017; (): -.

A coupled random fixed point result with application in polish spaces

Articles in Press, Accepted Manuscript , Available Online from 20 November 2017

^{1}Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.

^{2}Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.

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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