Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces

الملخص EN

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.