Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 67, Issue 8, Pages 2350-2360Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2006.08.032
Keywords
nonexpansive mapping; Halpern type iteration; strong convergence
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In this paper, to find a common fixed point of a family of nonexpansive mappings, we introduce a Halpern type iterative sequence. Then we prove that such a sequence converges strongly to a common fixed point of nonexpansive mappings. Moreover, we apply our result to the problem of finding a common fixed point of a countable family of nonexpansive mappings and the problem of finding a zero of an accretive operator. (c) 2006 Elsevier Ltd. All rights reserved.
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