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Huimin Zhang, Peichao Duan, Inertial four-operator splitting algorithms for solving monotone inclusion problems

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DOI: 10.23952/jano.7.2025.2.07
Volume 7, Issue 2, 1 August 2025, Pages 253-274

 

Abstract. In this paper, we propose two inertial four-operator splitting algorithms for finding a zero of the sum of four monotone operators, involving three maximally monotone operators and a cocoercive operator in a real Hilbert space. Next, we demonstrate that, under mild conditions on the iterative parameters, the sequences generated by our proposed algorithms converge weakly (strongly) to a solution of our inclusion problem. Finally, we present a numerical experiment on image recovery problems to illustrate the performance of our proposed algorithms.

 

How to Cite this Article:
H. Zhang, P. Duan, Inertial four-operator splitting algorithms for solving monotone inclusion problems, J. Appl. Numer. Optim. 7 (2025), 253-274.