Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (2): 602-613.doi: 10.1016/S0252-9602(16)30024-8

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GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES

Jinfang TANG1, Shih-sen CHANG2, Min LIU3   

  1. 1. Department of Mathematics, Yibin University, Yibin 644007, China;
    2. Center for General Education, China Medical University, Taichung 40402, Taiwan;
    3. Department of Mathematics, Yibin University, Yibin 644007, China
  • Received:2014-12-15 Revised:2015-07-11 Online:2016-04-25 Published:2016-04-25
  • Contact: Shih-sen CHANG,E-mail:changss2013@163.com E-mail:changss2013@163.com
  • Supported by:

    Supported by the Scientific Research Fund of Sichuan Provincial Department of Science and Technology (2015JY0165, 2011JYZ011), the Scientific Research Fund of Sichuan Provincial Education Department (14ZA0271), the Scientific Research Project of Yibin University (2013YY06), the Natural Science Foundation of China Medical University, Taiwan, and the National Natural Science Foundation of China (11361070).

Abstract:

The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split feasibility problem. Our results extend and improve some recent known results.

Key words: General split feasibility problems, nonexpansive mappings, Hilbert space, strong convergence

CLC Number: 

  • 90C25
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