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2014 A Strong Convergence Algorithm for the Two-Operator Split Common Fixed Point Problem in Hilbert Spaces
Chung-Chien Hong, Young-Ye Huang
Abstr. Appl. Anal. 2014(SI69): 1-8 (2014). DOI: 10.1155/2014/350479

Abstract

The two-operator split common fixed point problem (two-operator SCFP) with firmly nonexpansive mappings is investigated in this paper. This problem covers the problems of split feasibility, convex feasibility, and equilibrium and can especially be used to model significant image recovery problems such as the intensity-modulated radiation therapy, computed tomography, and the sensor network. An iterative scheme is presented to approximate the minimum norm solution of the two-operator SCFP problem. The performance of the presented algorithm is compared with that of the last algorithm for the two-operator SCFP and the advantage of the presented algorithm is shown through the numerical result.

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Chung-Chien Hong. Young-Ye Huang. "A Strong Convergence Algorithm for the Two-Operator Split Common Fixed Point Problem in Hilbert Spaces." Abstr. Appl. Anal. 2014 (SI69) 1 - 8, 2014. https://doi.org/10.1155/2014/350479

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022203
MathSciNet: MR3259156
Digital Object Identifier: 10.1155/2014/350479

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI69 • 2014
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