Journal of Nonlinear and Variational Analysis

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DOI: 10.23952/jnva.5.2021.2.03

Volume 5, Issue 2, 1 April 2021, Pages 211-226

 

Abstract. Based on the parameterized Douglas-Rachford algorithm and the three-operator splitting algorithm, we propose the parameterized three-operator splitting algorithm for finding the least norm solution for the sum of three maximally monotone operators, with one of which is a cocoercive operator. In order to improve the convergence speed of the parameterized three-operator splitting algorithm, the inertial version of the algorithm is studied. In addition, two convergence theorems are established under some conditions. Finally, we illustrate the feasibility and superiority of our algorithm via a numerical example.

 

How to Cite this Article:
Cuijie Zhang, Jiajia Chen, A parameterized three-operator splitting algorithm and its expansion, J. Nonlinear Var. Anal. 5 (2021), 211-226.