Compositions and Convex Combinations of Averaged Nonexpansive Operators
Patrick L. Combettes, Isao Yamada · arXiv (Cornell University) · 2014
Properties of compositions and convex combinations of averaged nonexpansive operators are investigated and applied to the design of new fixed point algorithms in Hilbert spaces. An extended version of the forward-backward splitting algorithm for finding a zero of the sum of two monotone operators is obtained.