Strong convergence of a modified Halpern-iteration for asymptotically quasi-φ-nonexpansive mappings

被引：0

作者：

Wu, Chang-Qun ^{[1
]}

Hao, Yan ^{[2
]}

机构：

[1] Henan Univ, Sch Business & Adm, Kaifeng 475000, Peoples R China

[2] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Peoples R China

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2013年 / 21卷 / 01期

关键词：

asymptotically quasi-phi-nonexpansive mapping; asymptotically nonexpansive mapping; relatively nonexpansive mapping; generalized projection; COMMON FIXED-POINT; PROJECTION ALGORITHMS; BANACH-SPACES; THEOREMS; FAMILY; OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problem of modifying Halpern iteration for approximating a common fixed point of a family of asymptotically quasi-phi-nonexpansive mappings is considered. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. The results presented in this paper mainly improve the corresponding results announced in [Y.J. Cho, X. Qin, S.M. Kang, Strong convergence of the modified Halpern-type iterative algorithms in Banach spaces, An. Stiint. Univ. Ovidius Constanta Ser. Mat. 17 (2009) 51-68].

引用

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页码：261 / 276

页数：16

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