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A fixed point method for solving a split feasibility problem in Hilbert spaces

  • Xiaolong QinEmail author
  • Lin Wang
Original Paper

Abstract

In this paper, a fixed method is introduced and investigated for solving a split feasibility problem. A strong convergence theorem of solutions is established in the framework of infinite dimensional Hilbert spaces. As an application, a split equality problem is also investigated.

Keywords

Hilbert space Monotone mapping Nonexpansive mapping Split feasibility problem Weak convergence 

Mathematics Subject Classification

47H05 47H09 47N10 

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No.11401152.

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Copyright information

© Springer-Verlag Italia S.r.l., part of Springer Nature 2017

Authors and Affiliations

  1. 1.Institute of Fundamental and Frontier SciencesUniversity of Electronic Science and Technology of ChinaChengduChina
  2. 2.College of Statistics and MathematicsYunnan University of Finance and EconomicsKunmingChina

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