A Generalization of Halpern Iteration. Preliminary Results
Manuel De la Sen · arXiv (Cornell University) · 2009
A generalization of a viscosity generalized Halpern iteration scheme is analyzed. It is proven that the solution converges asymptotically strongly to a unique fixed point of an asymptotically nonexpansive mapping which drives the iteration together with a contractive self-mapping, a viscosity term and two driving external forcing terms.