Exceptional family and solvability of copositive complementarity problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:388

Article

Hu, Qing-Jie¹  Ouyang, Zi-Sheng²  Wang, Zhong-Mei¹ 

[1] Hunan Univ Commerce, Sch Informat, Changsha 410205, Hunan, Peoples R China

[2] Hunan Univ Commerce, Sch Finance, Changsha 410205, Hunan, Peoples R China

关键词: Copositive complementarity problem;    Exceptional family;    Existence theorem;   

DOI  :  10.1016/j.jmaa.2011.10.028

来源: Elsevier

【 摘 要 】

In this paper, by extending the concept of exceptional family to complementarity problems over the cone of symmetric copositive real matrices, we propose an existence theorem of a solution to the copositive complementarity problem. Extensions of Isac-Carbone's condition, Karamardian's condition, weakly properness and coercivity are also introduced. Several applications of these results are presented, and we prove that without exceptional family is a sufficient and necessary condition for the solvability of pseudomonotone copositive complementarity problems. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free