<p>We study the split common solution problem with multiple output sets. In order to approximate a solution, we first introduce a new cyclic algorithm and establish its weak convergence. Then, in order to obtain strong convergence, we propose two additional algorithms by combining our first algorithm with hybrid or shrinking projection methods. Addressing related problems, we also present several corollaries of our main theorems.</p>

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Three New Cyclic Algorithms for Solving a Class of Split Common Solution Problems

  • Simeon Reich,
  • Nguyen Song Ha,
  • Dong Xuan Hung,
  • Truong Minh Tuyen,
  • Tran Xuan Quy

摘要

We study the split common solution problem with multiple output sets. In order to approximate a solution, we first introduce a new cyclic algorithm and establish its weak convergence. Then, in order to obtain strong convergence, we propose two additional algorithms by combining our first algorithm with hybrid or shrinking projection methods. Addressing related problems, we also present several corollaries of our main theorems.