Strong Convergence of the Modified Mann Iterations in a Banach Space

S. Imnang, S. Suantai

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Abstract

The Mann iterations for nonexpansive mappings have only weak convergence even in a Hilbert space. We propose two modifications of the Mann iterations in a uniformly smooth Banach space, one for nonexpansive mappings and the other for the resolvent of accretive operators. The two modified Mann iterations are proved to have strong convergence.

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Published

2005-12-01

How to Cite

Team, S. (2005). Strong Convergence of the Modified Mann Iterations in a Banach Space: S. Imnang, S. Suantai. Thai Journal of Mathematics, 3(2), 259–274. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/31

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