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Convergence theorems for nonexpansive mappings and feasibility problems. (English) Zbl 0971.47040

The authors introduce an iteration scheme given by finite nonexpansive mappings in Banach spaces and prove some convergence theorems which are connected with the problem of image recovery. Using these results, they study common fixed points of finite nonexpansive operators.

MSC:

47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47J25 Iterative procedures involving nonlinear operators
65J15 Numerical solutions to equations with nonlinear operators
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