TY - JOUR ID - 28506 TI - A Coupled Random Fixed Point Result With Application in Polish Spaces JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Rashwan, Rashwan Ahmed AU - Hammad, Hasanen Abuel-Magd AD - Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt. AD - Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt. Y1 - 2018 PY - 2018 VL - 11 IS - 1 SP - 99 EP - 113 KW - Coupled random fixed point KW - $varphi $-contraction KW - Polish space KW - Random nonlinear integral equations DO - 10.22130/scma.2017.28506 N2 - 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. UR - https://scma.maragheh.ac.ir/article_28506.html L1 - https://scma.maragheh.ac.ir/article_28506_00489e0591464d632713e87b210c626a.pdf ER -