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拟-?-渐近非扩张映像的修改的Halpern-Mann-型迭代的强收敛定理及应用 被引量:1

Strong Convergence Theorems of Modified Halpern-mann-type Iterations for Quasi-?-asymptotically Nonexpansive Mappings and Applications
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摘要 该文的目的是修改拟-φ-渐近非扩张映像的Halpern-Mann-型迭代算法.并证明,仅在一极限条件下,该迭代算法在Banach空间的框架下具有强收敛性.结果改进和推广了文献[4,6-7,11-13]以及其他一些人的最新结果. The purpose of this article is to modify the Halpern-Mann-type iteration atgorithm for quasi-φ-asymptotically nonexpansive mapping 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 of [4, 6-7, 11 13] and others.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2014年第5期1151-1160,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(11361070)资助
关键词 修改的Halpern-Mann-型迭代 拟-(φ)-渐近非扩张映像 拟-(φ)-非扩张映像 相对非扩张映像 广义投影 Modified Halpern-Mann-type iteration Quasi-φ-symptotically nonexpansive map-ping Quasi-φ-nonexpansive mapping Relatively nonexpansive mapping Generalized projec-tion.
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参考文献19

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