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Yongyu Fu, Haowen Zheng, Qiao-Li Dong, Jing Zhao, Frugal forward-backward splitting methods with deviations

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DOI: 10.23952/jnva.10.2026.6.03

Volume 10, Issue 6, 1 December 2026, Pages 1079-1092

 

Abstract. In this paper, we provide a general framework of frugal forward-backward splitting methods with deviations for finding zeros of the sum operator of a finite number of maximally monotone operators and cocoercive operators. Our framework encompasses the Douglas-Rachford splitting method with deviations. A unified weak convergence analysis is made under mild conditions. Numerical experiments on Markowitz portfolio optimization problem are given to demonstrate the effectiveness of deviations.

 

How to Cite this Article:
Y. Fu, H. Zheng, Q.L. Dong, J. Zhao, Frugal forward-backward splitting methods with deviations, J. Nonlinear Var. Anal. 10 (2026), 1093-1116.