Generalized nonlinear complementarity problems with order P_0 and R_0 properties |
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Authors: | Bo Zhong Huanhe Dong Lingchen Kong Jiyuan Tao |
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Institution: | 1. Department of Applied Mathematics, Beijing Jiaotong University, Beijing, 100044, People’s Republic of China 2. Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao, 266510, Shandong, People’s Republic of China 3. Department of Mathematics and Statistics, Loyola University Maryland, Baltimore, MD, 21210, USA
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Abstract: | 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. |
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