The Generalized Order Tensor Complementarity Problems

The Generalized Order Tensor Complementarity Problems

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.

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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

Yimin Wei

Maolin Che

Liqun Qi

Yimin Wei