| 互补问题的一个新例外族（英文） |
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| 引用本文： | 陈 玉 陈翠玲 韩彩虹. 互补问题的一个新例外族（英文）[J]. 应用数学, 2019, 32(4): 851-859 |
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| 作者姓名： | 陈 玉 陈翠玲 韩彩虹 |
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| 作者单位： | 广西师范大学数学与统计学院, 广西 桂林 541004 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11761014,11461015);the Guangxi Natural Science Foundation(2017GXNSFAA198243);the Innovation Project of Guangxi Graduate Education(JGY2017019,JGY2019029) |
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| 摘 要： | 本文对互补问题提出一个新的广义例外族,它是例外族和d方向序列概念的推广;证明如果连续函数不存在广义例外族,那么该互补问题一定有解;也分别证明在Karamardian型条件,Isac and Gowda型条件或P-阶广义强制型条件下,连续函数不存在广义例外族;应用该广义例外族概念到P*映射互补问题,得到了一个新的存在性定理.
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| 关 键 词： | 互补问题 例外族 P*映射 |
A New Exceptional Family of Elements for Complementarity Problems |
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| CHEN Yu,CHEN Cuiling,HAN Caihong. A New Exceptional Family of Elements for Complementarity Problems[J]. Mathematica Applicata, 2019, 32(4): 851-859 |
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| Authors: | CHEN Yu CHEN Cuiling HAN Caihong |
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| Affiliation: | (School of Mathematics and Statistics, Guangxi Normal University, Guilin 541004, China) |
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| Abstract: | In this paper, we present a generalized exceptional family of elements for complementarity problems, which is a generalization for the concepts of exceptional family of elements and d-orientation sequence for a continuous function. We show that if there exists no generalized exceptional family for a continuous function, then the corresponding complementarity problem has a solution. It is also shown that a continuous function does not possess the generalized exceptional family under Karamardian type condition, Isac and Gowda type condition or p-order generalized coercive type condition. Applying the new concept to the P*-mapping CP, a new existence result is established. |
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| Keywords: | Complementarity problem Exceptional family of element P*-mapping |
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