Extended vertical tensor complementarity problems with finite solution sets

被引：0
作者：
Li, Xue-liu [1 ,2 ]
Jiang, Yi-rong [2 ]
Yang, Yuning [1 ]
Tang, Guo-ji [2 ]
机构：
[1] Guangxi Univ, Coll Math & Informat Sci, Ctr Appl Math Guangxi, Nanning 530004, Peoples R China
[2] Guangxi Minzu Univ, Ctr Appl Math Guangxi, Sch Math Sci, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2025年
基金：
中国国家自然科学基金;
关键词：
Extended vertical tensor complementarity problem; Vertical non-degenerate (VND) tensor tuple; Strong vertical non-degenerate (SVND) tensor tuple; Finiteness property; BOUNDS;
D O I：
10.1007/s10898-025-01471-y
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：
The main propose of the present paper is to investigate the finiteness property of the solution set for the extended vertical tensor complementarity problem (EVTCP). To this end, two classes of structured tensor tuples, that is, vertical non-degenerate (VND) tensor tuples and strong vertical non-degenerate (SVND) tensor tuples , are introduced. Furthermore, the relationship and some properties about them are discussed. Based on the structured tensor tuples, the finiteness property of the solution set of EVTCP is investigated. The results obtained in this paper are extensions of those proposed by Palpandi and Sharma (J Optim Theory Appl 190:951-965, 2021) from the tensor complementarity problem (TCP) to EVTCP.
引用
收藏
页码：431 / 452
页数：22
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