Global Error Bound for the Vertical Tensor Complementarity Problem

Li-Ming Li (), Shi-Liang Wu () and Ping-Fan Dai ()
Additional contact information
Li-Ming Li: Yunnan Normal University
Shi-Liang Wu: Yunnan Normal University
Ping-Fan Dai: Hanshan Normal University

Journal of Optimization Theory and Applications, 2024, vol. 200, issue 3, No 6, 1056-1077

Abstract: Abstract As a natural extension of the tensor complementarity problem, the vertical tensor complementarity problem $$\left( {\textrm{VTCP}}\right) $$ VTCP has important research value. In this paper, we get some properties of the solution of the VTCP. Furthermore, we focus on investigating the global error bound for the VTCP with the type $${\textrm{VP}}$$ VP tensor set. We define two positively homogeneous operators by the type $${\textrm{VP}}$$ VP tensor set and obtain two global error bounds of the VTCP through the positively homogeneous operators.

Keywords: The vertical tensor complementarity problem; Global error bound; Type VP tensor set; 90C33; 90C30; 65H10 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-023-02358-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:200:y:2024:i:3:d:10.1007_s10957-023-02358-2

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-023-02358-2

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().