Strong convergence theorems of one-step iterative scheme for a countable family of multivalued mappings in a Banach space
2014
scientific article
english
- multivalued mappings
- common fixed point
- best approximation operators
EN In this paper, we introduce a new one-step iterative scheme for finding a common fixed point of a countable family of multivalued mappings in a real uniformly convex Banach space. By using the best approximation operators, a necessary and sufficient condition for strong convergence of the proposed method is given. Moreover, we establish some strong convergence theorems of the proposed iterative scheme under some control conditions.
31 - 38
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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