Research Communication | Open Access
Volume 2021 | Communication ID 131
Application of random fixed point theorems in solving non-linear stochastic integral equations system
Kenza Benkirane, Abderrahim Eladraoui, El Miloudi Marhrani
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2021
February 15, 2021
March 15, 2021

Abstract: The random fixed point theorems are stochastic generalizations of classical fixed point theorems what are known as deterministic results. The random fixed point theory find its root in the works of Špaček [1] and Hanš [2, 3]. In recent past, several fixed point theorems have been generalized in stochastic version. On the otherhand, Padgett [4] used the random analogue of Banach fixed point theorem [5] to analyze the existence and uniqueness of random solution of a nonlinear stochastic integral equation of the Hammerstein type and proved several theorems. Others, continued to work on this ...