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 -