We introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.
"Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces." Abstr. Appl. Anal. 2013 (SI01) 1 - 7, 2013. https://doi.org/10.1155/2013/232170