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Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces. (English) Zbl 1167.90010
The authors establish some significant convergence theorems for two different block-iterative methods in order to solve the well known problem to identify the points in the intersection of fixed points sets from a finite class of nonexpansive mappings in Hilbert and finite dimensional Banach spaces.The paper is important for the adequate numerical methods in this field.

MSC:
90C25 Convex programming
46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
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