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One-step iterative process for a finite family of multivalued mappings. (English) Zbl 1225.65059
Summary: We introduce a one-step iterative process to approximate common fixed points of a finite family of generalized nonexpansive multivalued mappings and prove some weak and strong convergence theorems for such mappings in uniformly convex Banach spaces.

65J15Equations with nonlinear operators (numerical methods)
47H10Fixed-point theorems for nonlinear operators on topological linear spaces
47J25Iterative procedures (nonlinear operator equations)
Full Text: DOI
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