Year: 2020
Author: Yimin Wei, Maolin Che, Liqun Qi, Yimin Wei
Numerical Mathematics: Theory, Methods and Applications, Vol. 13 (2020), Iss. 1 : pp. 131–149
Abstract
The main propose of this paper is devoted to studying the solvability of the generalized order tensor complementarity problem. We define two problems: the generalized order tensor complementarity problem and the vertical tensor complementarity problem and show that the former is equivalent to the latter. Using the degree theory, we present a comprehensive analysis of existence, uniqueness and stability of the solution set of a given generalized order tensor complementarity problem.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2018-0117
Numerical Mathematics: Theory, Methods and Applications, Vol. 13 (2020), Iss. 1 : pp. 131–149
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Generalized order tensor complementarity problems tensor complementarity problems structured tensors degree theory.
Author Details
-
Lower bounds of the solution set of the polynomial complementarity problem
Li, Xue-liu | Shang, Tong-tong | Tang, Guo-jiOptimization Letters, Vol. 18 (2024), Iss. 2 P.497
https://doi.org/10.1007/s11590-023-02004-w [Citations: 5] -
Projected fixed-point method for vertical tensor complementarity problems
Zhang, Ting | Wang, Yong | Huang, Zheng-HaiComputational Optimization and Applications, Vol. 89 (2024), Iss. 1 P.219
https://doi.org/10.1007/s10589-024-00581-9 [Citations: 0] -
A projected fixed point method for a class of vertical tensor complementarity problems
Wu, Shi-Liang | Long, Mei | Li, Cui-XiaOptimization Letters, Vol. (2024), Iss.
https://doi.org/10.1007/s11590-024-02146-5 [Citations: 0] -
Acceptable Solutions and Backward Errors for Tensor Complementarity Problems
Du, Shouqiang | Ding, Weiyang | Wei, YiminJournal of Optimization Theory and Applications, Vol. 188 (2021), Iss. 1 P.260
https://doi.org/10.1007/s10957-020-01774-y [Citations: 9] -
Theory and Computation of Complex Tensors and its Applications
Tensor Complementarity Problems
Che, Maolin | Wei, Yimin2020
https://doi.org/10.1007/978-981-15-2059-4_4 [Citations: 0] -
Generalized Multilinear Games and Vertical Tensor Complementarity Problems
Jia, Qingyang | Huang, Zheng-Hai | Wang, YongJournal of Optimization Theory and Applications, Vol. 200 (2024), Iss. 2 P.602
https://doi.org/10.1007/s10957-023-02360-8 [Citations: 2] -
A projected splitting method for vertical tensor complementarity problems
Dai, Ping-Fan | Wu, Shi-LiangOptimization Letters, Vol. 18 (2024), Iss. 4 P.1005
https://doi.org/10.1007/s11590-023-02030-8 [Citations: 2] -
A Modulus-Based Formulation for the Vertical Tensor Complementarity Problem
Zhao, Xue-Fan | Wu, Shi-Liang | Li, Cui-XiaJournal of Optimization Theory and Applications, Vol. (2024), Iss.
https://doi.org/10.1007/s10957-024-02544-w [Citations: 0] -
Existence results of solutions to a generalized vertical polynomial complementarity problem in terms of vertical block tensor tuples
Huang, Yi-gong | Shang, Tong-tong | Tang, Guo-jiJournal of Computational and Applied Mathematics, Vol. 451 (2024), Iss. P.116113
https://doi.org/10.1016/j.cam.2024.116113 [Citations: 0] -
Existence of the least element solution of the vertical block Z-tensor complementarity problem
Meng, Ruoke | Huang, Zheng-Hai | Wang, YongOptimization Letters, Vol. 17 (2023), Iss. 7 P.1697
https://doi.org/10.1007/s11590-023-01977-y [Citations: 6] -
Some Properties of the Solution of the Extended Vertical Tensor Complementarity Problem
Li, Li-Ming | Wu, Shi-Liang | Li, Cui-XiaJournal of the Operations Research Society of China, Vol. (2024), Iss.
https://doi.org/10.1007/s40305-023-00531-y [Citations: 0]