ON THE COMPUTATION OF FIXED POINTS FOR RANDOM OPERATOR EQUATIONS

IOANNIS K.  ARGYROS; SAÏD  HILOUT

ON THE COMPUTATION OF FIXED POINTS FOR RANDOM OPERATOR EQUATIONS

Authors

IOANNIS K. ARGYROS Cameron university, Department of Mathematical Sciences, Lawton, OK 73505, USA
SAÏD HILOUT Poitiers University, Laboratoire de Mathématiques et Applications, Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France

Keywords:

Newton’s method, Complete probability space, Semilocal convergence, Fixed point, Random operator equation, Probabilistic contraction mapping principle

Abstract

We approximate fixed points of random operator equation on a complete probability space using Newton's method. Error bounds on the distances involved and some applications are also provided in this study.