Tensor Complementarity Problems

2018 ◽  
pp. 65-134
Author(s):  
Liqun Qi ◽  
Haibin Chen ◽  
Yannan Chen
Keyword(s):  
Complementarity Problems ◽  
Tensor Complementarity ◽  
Tensor Complementarity Problems

Stability of Solutions and Continuity of Solution Maps of Tensor Complementarity Problems

2019 ◽  
Vol 36 (02) ◽  
pp. 1940002 ◽  
Author(s):  
Xue-Li Bai ◽  
Zheng-Hai Huang ◽  
Xia Li
Keyword(s):  
Complementarity Problems ◽  
Stability Of Solutions ◽  
Uniqueness Of Solutions ◽  
Solution Maps ◽  
Upper Semicontinuous ◽  
Tensor Complementarity ◽  
Tensor Complementarity Problems ◽  
The Stability ◽  
The Relationship ◽  
Tensor Variational Inequality

Recently, tensor complementarity problems are becoming more and more popular. There are various literatures considering all kinds of properties of tensor complementarity problems, however, the stability of solutions and the continuity of solution maps are rarely mentioned so far. In the present paper, we study these two properties for tensor complementarity problems. We propose conditions under which the solutions of tensor complementarity problems are stable with the help of the tensor variational inequality or structured tensors. We also show that the solution maps of tensor complementarity problems are upper semicontinuous with the involved tensors being [Formula: see text]-tensors. Meanwhile, we establish the relationship between the uniqueness of solutions and the continuity of solution maps of tensor complementarity problems.

Column sufficient tensors and tensor complementarity problems

2018 ◽  
Vol 13 (2) ◽  
pp. 255-276 ◽  
Author(s):  
Haibin Chen ◽  
Liqun Qi ◽  
Yisheng Song
Keyword(s):  
Complementarity Problems ◽  
Tensor Complementarity ◽  
Tensor Complementarity Problems
Sign in / Sign up

Export Citation Format

Share Document