The main propose of this paper is devoted to study the solvability of the generalized order tensor complementarity problem.We define two problems:the generalized order tensor complementarity problem and the vertical t...The main propose of this paper is devoted to study the solvability of the generalized order tensor complementarity problem.We define two problems:the generalized order tensor complementarity problem and the vertical tensor comple-mentarity 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.展开更多
基金The first author is supported by the Fundamental Research Funds for the Central Universities under grant No.JBK1801058Partial work is fin-ished during the author’s visiting at Shanghai Key Laboratory of Contemporary Ap-plied Mathematics+2 种基金The second author is supported by the Hong Kong Research Grant Council(Grant Nos.PolyU 501913,15302114,15300715 and 15301716)The third author is supported by the National Natural Science Foundation of China under grant No.11771099Innovation Program of Shanghai Municipal Education Commission.We would like to thank the editor and two anonymous reviewers for very helpful com-ments.
文摘The main propose of this paper is devoted to study the solvability of the generalized order tensor complementarity problem.We define two problems:the generalized order tensor complementarity problem and the vertical tensor comple-mentarity 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.
