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Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings

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  • Huanhuan Cui
  • Liya Liu

Abstract

In this paper, we are concerned with the multiple-sets split common fixed-point problems whenever the involved mappings are demicontractive. We first study several properties of demicontractive mappings and particularly their connection with directed mappings. By making use of these properties, we propose some new iterative methods for solving multiple-sets split common fixed-point problems, as well as multiple-sets spit feasibility problems. Under mild conditions, we establish their weak convergence of the proposed methods.

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  • Huanhuan Cui & Liya Liu, 2021. "Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, December.
    • Handle: RePEc:hin:jjmath:3962348
    DOI: 10.1155/2021/3962348
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