Common random fixed point results with application to a system of nonlinear integral equations

R. A. Rashwan1*, H. A. Hammad2 and L. Guran3

doi:10.26637/MJM0504/0009

Common random fixed point results with application to a system of nonlinear integral equations

Authors :

R. A. Rashwan^1*, H. A. Hammad² and L. Guran³

Author Address :

¹Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.
²Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.
³Department of Pharmaceutical Sciences, ”Vasile Goldis¸” Western University of Arad, Revolut¸iei Avenue, no. 94-96, 310025, Arad, Roumania.

*Corresponding author.

Abstract :

In this paper, we prove a common random fixed point theorem for two pair of weakly compatible mappings in separable Banach spaces. A corollary of the theorem is obtained and an example
is given to verify this corollary. An application is given to obtain the existence and unique solution of system of random nonlinear integral equations.

Keywords :

Random fixed point, random weakly compatible mappings, random nonlinear integral equations.

DOI :

10.26637/MJM0504/0009

Article Info :

Received : June 06, 2017; Accepted : August 07, 2017.