| Calculus of Generalized Quasi-differentiable Functions I: Some Results on the Space of Pairs of Convex-Set Collections |
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| 作者姓名： | 张宏伟 张立卫 夏尊铨 |
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| 作者单位： | Department of Mathematics，Dalian University of Technology，Dalian，116024，Department of Mathematics，Dalian University of Technology，Dalian，116024，Department of Mathematics，Dalian University of Technology，Dalian，116024 |
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| 基金项目： | The NNSF(10001007)of China. |
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| 摘 要： | A Riesz space K1 whose elements are pairs of convex-set collections is presented for the study on the calculus of generalized quasi-differentiable functions. The space K1 is constructed by introducing a well-defined equivalence relation among pairs of collections of convex sets. Some important properties on the norm and operations in K1 are given.
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Calculus of Generalized Quasi-differentiable Functions I: Some Results on the Space of Pairs of Convex-Set Collections |
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| ZHANG Hongwei ZHANG Liwei and XIA Zunquan.Calculus of Generalized Quasi-differentiable Functions I: Some Results on the Space of Pairs of Convex-Set Collections[J].Northeastern Mathematical Journal,2003(1). |
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| Authors: | ZHANG Hongwei ZHANG Liwei and XIA Zunquan |
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| Abstract: | A Riesz space K1 whose elements are pairs of convex-set collections is presented for the study on the calculus of generalized quasi-differentiable functions. The space K1 is constructed by introducing a well-defined equivalence relation among pairs of collections of convex sets. Some important properties on the norm and operations in K1 are given. |
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| Keywords: | convex-set collection Riesz space quasi-differentiable function quasi-differential |
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