Extended vertical tensor complementarity problems with finite solution sets

Xue-liu Li (), Yi-rong Jiang (), Yuning Yang () and Guo-ji Tang ()
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Xue-liu Li: Guangxi University
Yi-rong Jiang: Guangxi Minzu University
Yuning Yang: Guangxi University
Guo-ji Tang: Guangxi Minzu University

Journal of Global Optimization, 2025, vol. 92, issue 2, No 8, 452 pages

Abstract: Abstract 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.

Keywords: Extended vertical tensor complementarity problem; Vertical non-degenerate (VND) tensor tuple; Strong vertical non-degenerate (SVND) tensor tuple; Finiteness property (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10898-025-01471-y

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