Method of Successive Projections for Finding a Common Point of Sets in Metric Spaces

@inproceedings{Polak1990MethodOS,
  title={Method of Successive Projections for Finding a Common Point of Sets in Metric Spaces},
  author={Elijah Polak},
  year={1990}
}
Many problems in applied mathematics can be abstracted into finding a common point of a finite collection of sets. If all the sets are closed and convex in a Hilbert space, the method of successive projections (MOSP) has been shown to converge to a solution point, i.e., a point in the intersection of the sets. These assumptions are however not suitable for a broad class of problems. In this paper, we generalize the MOSP to collections of approximately compact sets in metric spaces. We first… CONTINUE READING
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