Split feasibility problem for quasi-nonexpansive multi-valued mappings and total asymptotically strict pseudo-contractive mapping

被引：27

作者：

Chang, S. S. ^{[1
]}

Lee, H. W. Joseph ^{[2
]}

Chan, C. K. ^{[2
]}

Wang, L. ^{[1
]}

Qin, L. J. ^{[3
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

[3] Kunming Univ, Dept Math, Kunming 650214, Yunnan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 20期

关键词：

Split feasibility problem; Convex feasibility problem; Single-valued (multi-valued) quasi-nonexpansive mapping; Demi-closeness; Opial's condition; Total asymptotically strict; pseudocontractive mapping; SETS; ALGORITHM;

D O I：

10.1016/j.amc.2013.04.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to study the split feasibility problem for a family of quasi-nonexpansive multi-valued mappings and a total asymptotically strict pseudo-contractive mapping in infinitely dimensional Hilbert spaces. The main results presented in the paper improve and extend some recent results of Censor et al. [Numer. Algorithms 8 (1994) 221-239; Inverse Problem 21 (2005) 2071-2084; J. Math. Anal. Appl. 327 (2007) 1244-1256], Byrne [Inverse Problem 18 (2002) 441-453], Yang [Inverse Problem 20 (2004) 1261-1266], Moudafi [Inverse Problem 26 (2010) 055007], Xu [Inverse Problem 26 (2010) 105018], Censor and Segal [J. Convex Anal. 16 (2009) 587-600], Masad and Reich [J. Nonlinear Convex Anal. 8 (2007) 367-371] and others. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：10416 / 10424

页数：9

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