Solvability of Two Classes of Tensor Complementarity Problems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we first introduce a class of tensors, called positive semidefinite plus tensors on a closed cone, and discuss its simple properties; and then, we focus on investigating properties of solution sets of two classes of tensor complementarity problems.
We study the solvability of a generalized tensor complementarity problem with a D-strictly copositive tensor and a positive semidefinite plus tensor on a closed cone and show that the solution set of such a complementarity problem is bounded.
Moreover, we prove that a related conic tensor complementarity problem is solvable if the involved tensor is positive semidefinite on a closed convex cone and is uniquely solvable if the involved tensor is strictly positive semidefinite on a closed convex cone.
As an application, we also investigate a static traffic equilibrium problem which is reformulated as a concerned complementarity problem.
A specific example is also given.
American Psychological Association (APA)
Xu, Yang& Gu, Wei-Zhe& Huang, He. 2019. Solvability of Two Classes of Tensor Complementarity Problems. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1196343
Modern Language Association (MLA)
Xu, Yang…[et al.]. Solvability of Two Classes of Tensor Complementarity Problems. Mathematical Problems in Engineering No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1196343
American Medical Association (AMA)
Xu, Yang& Gu, Wei-Zhe& Huang, He. Solvability of Two Classes of Tensor Complementarity Problems. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1196343
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196343