Strong convergence theorems of one-step iterative scheme for a countable family of multivalued mappings in a Banach space
2014
artykuł naukowy
angielski
- 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 (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
publiczny
10