The Problem of Image Recovery by the Metric Projections in Banach Spaces

الملخص EN

We consider the problem of image recovery by the metric projections in a real Banach space.

For a countable family of nonempty closed convex subsets, we generate an iterative sequence converging weakly to a point in the intersection of these subsets.

Our convergence theorems extend the results proved by Bregman and Crombez.