A projected fixed point method for a class of vertical tensor complementarity problems

被引：0
|
作者：
Wu, Shi-Liang [1 ,2 ]
Long, Mei [1 ,2 ]
Li, Cui-Xia [2 ]
机构：
[1] Yunnan Normal Univ, Sch Math, Kunming 650500, Yunnan, Peoples R China
[2] Yunnan Normal Univ, Yunnan Key Lab Modern Analyt Math & Applicat, Kunming 650500, Yunnan, Peoples R China
来源：
OPTIMIZATION LETTERS | 2024年
基金：
中国国家自然科学基金;
关键词：
Vertical tensor complementarity problem; Projected fixed point method; Power Lipschitz tensor;
D O I：
10.1007/s11590-024-02146-5
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we consider the numerical solution of a class of vertical tensor complementarity problems. By reformulating the involved vertical tensor complementarity problem (VTCP) as an equivalent projected fixed point equation, together with the relevant properties of the power Lipschitz tensor, we propose a projected fixed point method for the involved VTCP, and discuss its convergence properties. Numerical experiments are given to illustrate the effectiveness of the proposed method.
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页数：16
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