Generalized nonlinear complementarity problems with order \(P_0\) and 详细信息    查看全文

• 作者：Bo Zhong (1)
  Huanhe Dong (2)
  Lingchen Kong (1)
  Jiyuan Tao (3)
  
• 关键词：Generalized nonlinear complementary problem ; Order $$P$$ P ; property ; Existence of solution ; 26B05 ; 65K05 ; 90C33
• 刊名：Positivity
• 出版年：2014
• 出版时间：June 2014
• 年：2014
• 卷：18
• 期：2
• 页码：413-423
• 全文大小：
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• 作者单位：Bo Zhong (1)
  Huanhe Dong (2)
  Lingchen Kong (1)
  Jiyuan Tao (3)
  
  1. Department of Applied Mathematics, Beijing Jiaotong University, Beijing, 100044, People鈥檚 Republic of China
  2. Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao, 266510, Shandong, People鈥檚 Republic of China
  3. Department of Mathematics and Statistics, Loyola University Maryland, Baltimore, MD, 21210, USA
  
• ISSN：1572-9281

文摘

We generalize the \(P, P_0, R_0\) properties for a nonlinear function associated with the standard nonlinear complementarity problem to the setting of generalized nonlinear complementarity problem (GNCP). We prove that if a continuous function has the order \(P_0\) and \(R_0\) properties then all the associated GNCPs have solutions.