Krasnoselskii-type algorithm for zeros of strongly monotone Lipschitz maps in classical banach spaces

摘要

Let E = Lp, 1  p  ∞, and A:E → E^∗ be a strongly monotone and Lipschitz mapping. A Krasnoselskii-type sequence is constructed and proved to converge strongly to the unique solution of Au = 0. Furthermore, our technique of proo f is of independent interest.