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The split feasibility problem and the shrinking projection method in Banach spaces. (English) Zbl 1343.47074

In order to solve the split feasibility problem in Banach spaces, the author considers the shrinking projection method for which he proves two strong convergence theorems.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H05 Monotone operators and generalizations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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