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An Iterative Algorithm for Split Common Fixed-Point Problem for Demicontractive Mappings

In: Optimization Methods, Theory and Applications

Author

Listed:
  • Yazheng Dang

    (Henan Polytechnic University, College of Computer Science and Technology (Software College)
    University of Shanghai for Science and Technology, School of Management)

  • Fanwen Meng

    (National Healthcare Group)

  • Jie Sun

    (Curtin University, Department of Mathematics and Statistics)

Abstract

Inspired by the inertial proximal algorithms for finding a zero of a maximal monotone operator, we propose an inertial iteration algorithm for solving the split common fixed point problem for demicontractive mappings. We prove the asymptotical convergence of the algorithm under certain mild conditions. The results extend the result of Dang and Gao (Inverse Probl, 27:015007, 2011) and Moudafi (Inverse Probl 26:055007, 6pp, 2010. doi:10.1088/0266-5611/26/5/ 055007).

Suggested Citation

  • Yazheng Dang & Fanwen Meng & Jie Sun, 2015. "An Iterative Algorithm for Split Common Fixed-Point Problem for Demicontractive Mappings," Springer Books, in: Honglei Xu & Song Wang & Soon-Yi Wu (ed.), Optimization Methods, Theory and Applications, edition 127, chapter 0, pages 85-94, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-47044-2_5
    DOI: 10.1007/978-3-662-47044-2_5
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