Best Approximation Algorithms
Best approximation algorithms were already discussed in Corollary 5.30, in Example 28.18, and in Example 28.19. In this chapter, we provide further approaches for computing the projection onto the intersection of finitely many closed convex sets. The methods we present, all of which employ the individual projectors onto the given sets, are Halpern’s algorithm, Dykstra’s algorithm, and Haugazeau’s algorithm. Applications to solving monotone inclusion and minimization problems with strongly convergent algorithms are also given.
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