
Summary: 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.
Polish space, Fixed-point and coincidence theorems (topological aspects), Random nonlinear integral equations, coupled random fixed point, Nonlinear functional analysis, Fixed-point theorems, QA1-939, \(\varphi\)-contraction, $varphi $-contraction, Coupled random fixed point, random nonlinear integral equations, Mathematics
Polish space, Fixed-point and coincidence theorems (topological aspects), Random nonlinear integral equations, coupled random fixed point, Nonlinear functional analysis, Fixed-point theorems, QA1-939, \(\varphi\)-contraction, $varphi $-contraction, Coupled random fixed point, random nonlinear integral equations, Mathematics
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