The Generalized Order Tensor Complementarity Problems

Authors

  • Maolin Che School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, Sichuan, China
  • Liqun Qi Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong
  • Yimin Wei School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai 200433, China

DOI:

https://doi.org/10.4208/nmtma.OA-2018-0117

Keywords:

Generalized order tensor complementarity problems, tensor complementarity problems, structured tensors, degree theory.

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.

Downloads

Published

2020-03-06

Issue

Vol. 13 No. 1 (2020)

Section

Articles