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Two Modified Inertial Algorithms for a Class of Split Common Null Point Problems with Demi-Contractive Mapping

  • Yan Tang,
  • Shiqing Zhang,
  • Haiyun Zhou

摘要

We focus on two alternating inertial projection iterative algorithms to a class of split common null point problem, specifically, the common solution of the pseudomonotone variational inequality problem and the fixed-point problem of demi-contractive mapping. We construct the relation between the inertial parameters and Mann’s iteration coefficients to obtain the convergence, which in turn allows some interesting results, that is, the traditional constraints on inertia parameters can be removed. Meanwhile, we give two numerical examples to verify the superiority and effectiveness of the schemes.