Journal
JOURNAL OF GLOBAL OPTIMIZATION
Volume 51, Issue 1, Pages 27-46Publisher
SPRINGER
DOI: 10.1007/s10898-010-9617-6
Keywords
Iterative approximation method; Nonexpansive mapping; Strong convergence theorem; Banach space; Common fixed point
Funding
- Thailand Research Fund [TRG5280011]
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In this paper, we introduce a general iterative approximation method for finding a common fixed point of a countable family of nonexpansive mappings which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a reflexive Banach space which admits a weakly continuous duality mapping. As applications, at the end of the paper, we apply our results to the problem of finding a zero of an accretive operator. The main result extends various results existing in the current literature.
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