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A simple projection method for solving the multiple-sets split feasibility problem. (English) Zbl 1285.65038

The multiple-sets split feasibility problem consists in finding a point in the intersection of a family of closed convex sets, which goes, by a linear transformation, into a point of the same type from the image space. This problem is approached, elaborating a practical projection method, which is faster and easier to implement than the already known techniques. The convergence of the method is accelerated by computing the best step-size for the current direction in each iteration. A relaxed projection scheme improves this technique, making it easier to implement. The theoretical foundation of the new method, together with few numerical experiments are included.

MSC:

65K05 Numerical mathematical programming methods
90C25 Convex programming
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