Random Fixed Points for ψ-Contractions with Application to Random Differential Equations

Abstract

In this paper, some random common fixed point and coincidence point results are proved with PPF dependence for random operators in separable Banach spaces. Our results present stochastic versions and extensions of recent results of Dhage [J. Nonlinear Sci. Appl. 5 (2012) and Di¤er. Equ. Appl. 2 (2012)], Kaewcharoen [ J. Inequal. Appl. 2013:287 ] and many others. We also establish results concerning iterative approximation of PPF dependent random  common fixed points. Moreover an application to random differential equations is given here to illustrate the usability of the obtained results.