A Generalization of Suzuki's Lemma

B. Panyanak and A. Cuntavepanit

Abstract and Applied Analysis, 2011, vol. 2011, 1-14

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:824718

DOI: 10.1155/2011/824718

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