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

S. S. Chang; Heung Wing Joseph Lee; Chi Kin Chan; L. Wang; L. J. Qin

doi:10.1016/j.amc.2013.04.020

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

S. S. Chang, Heung Wing Joseph Lee, Chi Kin Chan, L. Wang, L. J. Qin

Research output: Journal article publication › Journal article › Academic research › peer-review

31 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	10416-10424
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	219
Issue number	20
DOIs	https://doi.org/10.1016/j.amc.2013.04.020
Publication status	Published - 15 Jun 2013

Keywords

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

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

More information

10.1016/j.amc.2013.04.020

Cite this

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

abstract = "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.",

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Split feasibility problem for quasi-nonexpansive multi-valued mappings and total asymptotically strict pseudo-contractive mapping. / Chang, S. S.; Lee, Heung Wing Joseph; Chan, Chi Kin et al.
In: Applied Mathematics and Computation, Vol. 219, No. 20, 15.06.2013, p. 10416-10424.

Research output: Journal article publication › Journal article › Academic research › peer-review

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AU - Lee, Heung Wing Joseph

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AU - Qin, L. J.

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KW - Split feasibility problem

KW - Total asymptotically strict

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

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Keywords

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