Stochastic $R_0$ Tensors to Stochastic Tensor Complementarity Problems

Autor:	Che, Maolin, Qi, Liqun, Wei, Yimin
Rok vydání:	2018
Předmět:	Mathematics - Optimization and Control 15A18 15A69 65F15 65F10
Druh dokumentu:	Working Paper
Popis:	The main purpose of this paper is devoted to an introduction of the stochastic tensor complementarity problem. We consider the expected residual minimization formulation of the stochastic tensor complementarity problem. We show that the solution set of the expected residual minimization problem is nonempty and bounded, if the associated tensor is an $R_0$ tensor. We also prove that the associated tensor being a stochastic $R_0$ tensor is a necessary and sufficient condition for the solution set of the expected residual minimization problem to be nonempty and bounded. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.03436 Zobrazit plný text záznamu View this record from Arxiv