In this article, an alternated inertial projection algorithm is introduced to solve the splitting feasibility problems, and the convergence of the iterative sequence generated by the proposed method is obtained under appropriate conditions. When the splitting feasibility problem satisfies some bounded linear regularity, it is proved that the generated sequences converge linearly. Finally, some numerical results demonstrate the feasibility and effectiveness of the proposed algorithm.

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Convergence and Linear Convergence of Alternated Inertial Projection Algorithm for Split Feasibility Problems

  • Xiaojie Sun,
  • Meixia Li,
  • Biao Qu

摘要

In this article, an alternated inertial projection algorithm is introduced to solve the splitting feasibility problems, and the convergence of the iterative sequence generated by the proposed method is obtained under appropriate conditions. When the splitting feasibility problem satisfies some bounded linear regularity, it is proved that the generated sequences converge linearly. Finally, some numerical results demonstrate the feasibility and effectiveness of the proposed algorithm.