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Explicit and implicit iterative schemes with balanced mappings in Hadamard spaces

Yasunori Kimura

Abstract


We obtain two different kinds of approximation theorems to a commonfixed point of a finite family of nonexpansive mappings defined on aHadamard space.  One is an explicit iterative method and the other is animplicit iterative method.  We use the idea of balanced mappings togenerate the approximate sequences.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|