@article{9469,
  abstract     = {In this paper, we consider reflected three-operator splitting methods for monotone inclusion problems in real Hilbert spaces. To do this, we first obtain weak convergence analysis and nonasymptotic O(1/n) convergence rate of the reflected Krasnosel'skiĭ-Mann iteration for finding a fixed point of nonexpansive mapping in real Hilbert spaces under some seemingly easy to implement conditions on the iterative parameters. We then apply our results to three-operator splitting for the monotone inclusion problem and consequently obtain the corresponding convergence analysis. Furthermore, we derive reflected primal-dual algorithms for highly structured monotone inclusion problems. Some numerical implementations are drawn from splitting methods to support the theoretical analysis.},
  author       = {Iyiola, Olaniyi S. and Enyi, Cyril D. and Shehu, Yekini},
  issn         = {1029-4937},
  journal      = {Optimization Methods and Software},
  publisher    = {Taylor and Francis},
  title        = {{Reflected three-operator splitting method for monotone inclusion problem}},
  doi          = {10.1080/10556788.2021.1924715},
  year         = {2021},
}