On the strong convergence of an algorithm about pseudo-demicontractive mappings for the split common fixed-point problem

Sheng Delei; Chen Rudong

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On the strong convergence of an algorithm about pseudo-demicontractive mappings for the split common fixed-point problem

Sheng Delei 1 * #,Chen Rudong 2

1.Department of Mathematics, Tianjin Polytechnic University

2.Department of Mathematics,Tianjin Polytechnic University

*Correspondence author

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Funding: This research was supported partly by NSFC Grants（No.No:11071279）

Opened online: 2 April 2011

Accepted by: none

Citation: Sheng Delei,Chen Rudong.On the strong convergence of an algorithm about pseudo-demicontractive mappings for the split common fixed-point problem[OL]. [ 2 April 2011] http://en.paper.edu.cn/en_releasepaper/content/4418641

Based on the very recent work by A Moudafi (2010 Inverse Problems 26 055007 (6pp)), Censor and Segal (2009 J. Convex Anal.16 587-600) and Xu's results. We extend their algorithms of demicontractive operators to the class of pseudo-demicontractive operators for the split common fixed-point problem in a Hilbert space and give the strong convergence theorem. Our results improve and/or develop Moudafi and Censor's results.

Keywords:pseudo-demicontractive; quasi-Fejer monotone; SCFP

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