Convergence of iterative algorithms to common random fixed points of random operators

[摘要] We prove the existence of a common randomfixed point of two asymptotically nonexpansive random operators throughstrong and weak convergences of an iterative process. The necessary andsufficient condition for the convergence of sequence of measurable functionsto a random fixed point of asymptotically quasi-nonexpansive randomoperators in uniformly convex Banach spaces is also established.

[学科分类] 应用数学