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Banach空间中的弱凸集和W-太阳集 被引量：2

Weakly Convex Set and W-Sun Set in Banach Spaces
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摘要 本文在光滑Banach空间的框架下,引进弱凸集和W-太阳集的概念,研究它们性质,并给出了在逼近问题中的应用. Under the frame of the smooth Banach spaces, we introduce the notions of the weakly convex set and the W-sun set and present their properties and applications in approximation problems.
作者 关伟波 宋文
机构地区 哈尔滨师范大学数学科学学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2010年第1期45-50,共6页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金资助项目(10671050) 黑龙江省杰出青年基金项目(JC200707) 2007年黑龙江省研究生创新科研基金资助项目(YJSCX2007-0315HLJ)
关键词 广义投影算子 弱凸集 W-太阳集 generalized projection operator weakly convex set W-sun set
分类号 O177.92 [理学—基础数学]
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参考文献1

  • 1CHEN Jinfu,Professor,Director,Teaching & Research Office on Urban Planning,Architecture and Urban Planning School,Huazhong University of Science and Technology,PhD Candidate,College of Public Administration,Huazhong University of Science and Technology,Wuhan,P.R.China.REN Lijuan,Postgraduate,Architecture and Urban Planning School,Huazhong University of Science and Technology,Wuhan,P.R.China.YU Cheng,Postgraduate,Architecture and Urban Planning School,Huazhong University of Science and Technology,Wuhan,P.R.China.XU Xiaolei,Postgraduate,Architecture and Urban Planning School,Huazhong University of Science and Technology,Wuhan,P.R.China.LI Xinyan,Lecturer,Architecture and Urban Planning School,Huazhong University of Science and Technology,Wuhan,P.R.China..Remarks on Urban Spatial Growth Management Research[J].China City Planning Review,2010,19(2):52-59. 被引量：181

二级参考文献8

共引文献180

同被引文献13

  • 1Ya.Alber.Generalized projection operators in Banachspaces:properties and applications,in:Proceedings of the IsraelSemi-nar,Ariel,Israel,Functional Differ.Equ.,1994(1):1 -21.
  • 2L.M.Bregman.The relaxation method of finding the common-point of convex sets and its application to the solution of prob-lemsin convex programming,U.S.S.R.Comp.Math.Phys.,1967(7):200-217.
  • 3H.H.Bauschke,J.M.Borwein,P.L.Combettes.Bregmanm-onotone optimization algorithms,SIAM J Control Optim.,2003 (42):596-636.
  • 4H.H.Bauschke and D.Noll.The method of forwardprojec-tions,J.Nonlinear Convex Anal.,2002(3):191-205.
  • 5N.V.Efimov,S.B.Stechkin.Some properties of Chebyshev-sets,Dokl.Akad.Nauk.SSSR.,1958(118):17 -19.
  • 6I.Singer.Theroy of best approximation and functionalanalysis,Springer-Verlag,New York,1970.
  • 7Alber Y I. Generalized projection operators in Banach spaces:properties and applications,in:Proceedings of the Israel Seminar,Ariel Israel Functional Differ[J].Equ,1994,(01):1-21.
  • 8Alber Y I. Generalized projection operators in Banach spaces:properties and applications[A].Marcel Dekker,Inc,1996.15-50.
  • 9Diestel J. Geometry of Banach Space-Selected Topics,Lecture Notes in Math[M].Springer-Verlag,Berlin,1975.
  • 10Efimov N V,Stechkin S B. Some properties of Chebyshev sets[J].Dokl Akad Nauk SSSR,1958.17-19.

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数学学报（中文版）
2010年 第1期

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