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作者机构:Hanoi Natl Univ Educ Dept Math 136 Xuan Thuy St Hanoi Vietnam Ecole Polytech Fed Lausanne Lab Informat Theory & Inference Syst LIONS Lausanne Switzerland
出 版 物:《VIETNAM JOURNAL OF MATHEMATICS》 (越南数学杂志)
年 卷 期:2017年第45卷第3期
页 面:519-539页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Banach space Bregman distance Forward-backward algorithm Legendre function Multivariate minimization Variable quasi-Bregman monotonicity
摘 要:We propose a forward-backward splitting algorithm based on Bregman distances for composite minimization problems in general reflexive Banach spaces. The convergence is established using the notion of variable quasi-Bregman monotone sequences. Various examples are discussed, including some in Euclidean spaces, where new algorithms are obtained.