Strong Convergence Theorems for the Split Variational Inclusion Problem and Common Fixed Point Problem for a Finite Family of Quasi-nonexpansive Mappings in Hilbert Spaces

Varayut Boonyasri, Suthep Suantai, Phakdi Charoensawan

Abstract


In this work, we introduce and study an algorithm for solving the com-mon xed point problem of a nite family of quasi-nonexpansive mappings and thesplit variational inclusion problem in Hilbert spaces. We establish a strong conver-gence result under some suitable conditions. Some numerical example supportingour main result is also given.

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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|