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Generalized Polynomial Complementarity Problems over a Polyhedral Cone
- Source :
- Journal of Optimization Theory and Applications. 192:443-483
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- 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.
Details
- ISSN :
- 15732878 and 00223239
- Volume :
- 192
- Database :
- OpenAIRE
- Journal :
- Journal of Optimization Theory and Applications
- Accession number :
- edsair.doi...........67b67f9d1abf2c6a25d3febd6e6b1a0a