Abstract
Let , , and be bounded sequences in a metric space of hyperbolic type , and let be a sequence in with . If for all , , and , then . This is a generalization of Lemma 2.2 in (T. Suzuki, 2005). As a consequence, we obtain strong convergence theorems for the modified Halpern iterations of nonexpansive mappings in CAT(0) spaces.
Citation
B. Panyanak. A. Cuntavepanit. "A Generalization of Suzuki's Lemma." Abstr. Appl. Anal. 2011 1 - 14, 2011. https://doi.org/10.1155/2011/824718
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