Rashwan, R., Hammad, H. (2018). A Coupled Random Fixed Point Result With Application in Polish Spaces. Sahand Communications in Mathematical Analysis, 11(1), 99-113. doi: 10.22130/scma.2017.28506

Rashwan Ahmed Rashwan; Hasanen Abuel-Magd Hammad. "A Coupled Random Fixed Point Result With Application in Polish Spaces". Sahand Communications in Mathematical Analysis, 11, 1, 2018, 99-113. doi: 10.22130/scma.2017.28506

Rashwan, R., Hammad, H. (2018). 'A Coupled Random Fixed Point Result With Application in Polish Spaces', Sahand Communications in Mathematical Analysis, 11(1), pp. 99-113. doi: 10.22130/scma.2017.28506

Rashwan, R., Hammad, H. A Coupled Random Fixed Point Result With Application in Polish Spaces. Sahand Communications in Mathematical Analysis, 2018; 11(1): 99-113. doi: 10.22130/scma.2017.28506

A Coupled Random Fixed Point Result With Application in Polish Spaces

^{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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