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Zbl 0971.47040
Takahashi, W.; Shimoji, K.
Convergence theorems for nonexpansive mappings and feasibility problems. (English)
[J] Math. Comput. Modelling 32, No.11-13, 1463-1471 (2000). ISSN 0895-7177

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.
[Jürgen Appell (Würzburg)]
MSC 2000:
*47H09 Mappings defined by "shrinking" properties
47J25 Methods for solving nonlinear operator equations (general)
65J15 Equations with nonlinear operators (numerical methods)

Keywords: iteration scheme; finite nonexpansive mappings; convergence theorems; image recovery; common fixed points of finite nonexpansive operators

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