Generalized Polynomial Complementarity Problems over a Polyhedral Cone

Autor:	Guo-ji Tang, Tong-tong Shang, Jing Yang
Rok vydání:	2021
Předmět:	Polynomial (hyperelastic model) Combinatorics Control and Optimization Compact space Cone (topology) Applied Mathematics Complementarity (molecular biology) Theory of computation Solution set Tensor Extension (predicate logic) Management Science and Operations Research Mathematics
Zdroj:	Journal of Optimization Theory and Applications. 192:443-483
ISSN:	1573-2878 0022-3239
DOI:	10.1007/s10957-021-01969-x
Popis:	The goal of this paper is to investigate a new model, called generalized polynomial complementarity problems over a polyhedral cone and denoted by GPCPs, which is a natural extension of the polynomial complementarity problems and generalized tensor complementarity problems. Firstly, the properties of the set of all $$R^{K}_{{\varvec{0}}}$$ -tensors are investigated. Then, the nonemptiness and compactness of the solution set of GPCPs are proved, when the involved tensor in the leading term of the polynomial is an $$ER^{K}$$ -tensor. Subsequently, under fairly mild assumptions, lower bounds of solution set via an equivalent form are obtained. Finally, a local error bound of the considered problem is derived. The results presented in this paper generalize and improve the corresponding those in the recent literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::67b67f9d1abf2c6a25d3febd6e6b1a0a https://doi.org/10.1007/s10957-021-01969-x Zobrazit plný text záznamu Full text from SpringerLink