Total quasi-ϕ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces

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作者
Shih-sen Chang
Jong Kyu Kim
Lin Wang
机构
[1] Yunnan University of Finance and Economics,College of Statistics and Mathematics
[2] Kyungnam University,Department of Mathematics Education
关键词
modified Halpern-Mann-type iteration; total quasi-; -symptotically nonexpansive semigroups; quasi-; -symptotically nonexpansive semigroups; quasi-; -nonexpansive semigroups; relatively nonexpansive semigroups; generalized projection;
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摘要
The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for total quasi-ϕ-asymptotically nonexpansive semigroups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in the paper improve and extend the corresponding recent results announced by many authors.
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