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- W2078558462 abstract "The purpose of this article is to prove the strong convergence theorems for hemi-relatively nonexpansive mappings in Banach spaces. In order to get the strong convergence theorems for hemi-relatively nonexpansive mappings, a new monotone hybrid iteration algorithm is presented and is used to approximate the fixed point of hemi-relatively nonexpansive mappings. Noting that, the general hybrid iteration algorithm can be used for relatively nonexpansive mappings but it can not be used for hemi-relatively nonexpansive mappings. However, this new monotone hybrid algorithm can be used for hemi-relatively nonexpansive mappings. In addition, a new method of proof has been used in this article. That is, by using this new monotone hybrid algorithm, we firstly claim that, the iterative sequence is a Cauchy sequence. The results of this paper modify and improve the results of Matsushita and Takahashi, and some others." @default.
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- W2078558462 date "2011-02-01" @default.
- W2078558462 modified "2023-10-11" @default.
- W2078558462 title "New monotone hybrid algorithm for hemi-relatively nonexpansive mappings and maximal monotone operators" @default.
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- W2078558462 doi "https://doi.org/10.1016/j.amc.2010.12.015" @default.
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