期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 253, 期 -, 页码 158-162出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2013.04.017
关键词
Complementarity problem; Exceptional d-regular mapping; Generalized exceptional family of elements
资金
- Scientific Research Fund of Hunan Provincial Education Department of China [11C0737]
- Basic Research Projects of Hunan Provincial Scientific Department of China [2010FJ3138]
- Social Science Fund of China [11BTJ011]
In this paper, we present a new notion of exceptional d-regular mapping, which is a generalization of the notions of exceptional regular mapping and d-regular mapping. By using the new notion, we establish a new existence result for complementarity problems. Our results only generalize Karamardian's and Zhao's existence results (Theorem 3.1 in Karamardian (1972) [5], Theorem 3.8 in Harker et al. (1990) [2], Theorem 4.1 in Zhao and Isac (2000) [6], Theorem 3.1 in Zhao (1999) [13]). In our analysis, the notion of a new generalized exceptional family of elements for complementarity problems plays a key role. Crown Copyright (C) 2013 Published by Elsevier B.V. All rights reserved.
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