The goal of this manuscript is to establish strong convergence theorems for inertial shrinking projection and CQ algorithms to solve a split convex feasibility problem in real Hilbert spaces. Finally, numerical examples were obtained to discuss the performance and effectiveness of our algorithms and compare the proposed algorithms with the previous shrinking projection, hybrid projection, and inertial forward-backward methods.

中文翻译：

---

通过希尔伯特空间中的两种投影算法的强收敛性来解决分裂可行性问题

该手稿的目的是为惯性收缩投影和CQ算法建立强大的收敛定理，以解决实际希尔伯特空间中的分裂凸可行性问题。最后，通过数值算例讨论了我们算法的性能和有效性，并将所提出的算法与以前的缩小投影，混合投影和惯性前后推方法进行了比较。