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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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【Author】 ZHANG Hongwei ZHANG Liwei and XIA Zunquan(Department of Mathematics, Dalian University of Technology, Dalian, 116024)

【机构】 Department of Mathematics； Dalian University of Technology； Dalian； 116024； 116024；

【摘要】 <正> 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.更多还原

【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.更多还原

【关键词】 convex-set collection； Riesz space； quasi-differentiable function； quasi-differential；
【Key words】 convex-set collection； Riesz space； quasi-differentiable function； quasi-differential；

【基金】 The NNSF(10001007)of China.

【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2003年01期

【分类号】O174.13
【被引频次】3
【下载频次】22

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