| 赋范空间中逐段仿射不等式系统的误差界 |
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| 引用本文： | 王海英.赋范空间中逐段仿射不等式系统的误差界[J].安顺学院学报,2011(4):124-127. |
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| 作者姓名： | 王海英 |
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| 作者单位： | 安顺学院; |
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| 基金项目： | 贵州省自然科学基金资助项目(20090074); 安顺学院校级课题(2010A009) |
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| 摘 要： | 文章通过商空间理论,证明了无穷维赋范空间中逐段仿射不等式系统必定存在局部差界,并给出了逐段仿射不等式系统存在整体误差界的一个充要条件。
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| 关 键 词： | 误差界 逐段仿射函数 商空间 |
Error Bounds of Piecewise Affine Inequality System in Infinite Dimensional Norm Space |
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| Wang haiying.Error Bounds of Piecewise Affine Inequality System in Infinite Dimensional Norm Space[J].Journal of Anshun College,2011(4):124-127. |
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| Authors: | Wang haiying |
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| Institution: | Wang haiying(Anshun University,Anshun 561000,Guizhou,China) |
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| Abstract: | We consider the error bounds for a piecewise affine inequality system in infinite dimensional norm space and through the theory of quotient space,we prove that there exist local error bounds for this system.Moreover,we present a necessary snd sufficient condition for this system to have a global error bound. |
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| Keywords: | error bounds piecwise affine functions quotient space |
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