The Problem of Image Recovery by the Metric Projections in Banach Spaces
Yasunori Kimura, Kazuhide Nakajo · Abstract and Applied Analysis · 2013
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.