Banach空间中的一类广义太阳集及其相互关系

Generalized Sun Sets and its Relationships in Banach Spaces

下载PDF

导出

摘要在光滑Banach空间的框架下,引进一类广义太阳集的概念,并研究它们之间的相互关系. Under the frame of the smooth Banach spaces, the notions of the generalized sun set and its relationships between them are introduced

作者关伟波李言睿李燕

机构地区哈尔滨师范大学中国石油大学

出处《哈尔滨师范大学自然科学学报》 CAS 2014年第4期11-13,共3页 Natural Science Journal of Harbin Normal University

基金黑龙江省教育厅科学技术研究项目(12511161)

关键词广义投影算子广义太阳集最佳逼近对偶映射 Generalized projection operator Generalized sun set Best approximation Dual mapping

分类号 O177.2 [理学—基础数学]

引文网络
相关文献

参考文献8

1Alber 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.
2Alber Y I. Generalized projection operators in Banach spaces:properties and applications[A].Marcel Dekker,Inc,1996.15-50.
3Diestel J. Geometry of Banach Space-Selected Topics,Lecture Notes in Math[M].Springer-Verlag,Berlin,1975.
4Efimov N V,Stechkin S B. Some properties of Chebyshev sets[J].Dokl Akad Nauk SSSR,1958.17-19.
5Guan W B,Song W. W-approximative Compactness and Continuity of the Generalized Projection Operator in Banach Spaces[J].Journal of Approximation Theory,2010.64-71.
6Singer I. Theory of best Approximation and Functional Analysis[M].Springer-Verlag,New York,1970.
7Song W,Cao Z J. The generalized decomposition theorem in Banach spaces and its applications[J].Journal of Approximation Theory,2004.167-181.
8关伟波,宋文.Banach空间中的弱凸集和W-太阳集[J].数学学报（中文版）,2010,53(1):45-50. 被引量：2

二级参考文献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

共引文献1

1刘姗姗,关伟波.Bregman右投影算子的D-太阳集及其性质[J].哈尔滨师范大学自然科学学报,2010,26(1):37-39.

1史杰,何中全.Banach空间中一类变分不等式近似解研究[J].西华师范大学学报（自然科学版）,2011,32(4):326-330.
2关伟波,宋文.Banach空间中的弱凸集和W-太阳集[J].数学学报（中文版）,2010,53(1):45-50. 被引量：2
3毕亮亮,范丽亚.解实q一致光滑Banach空间中的带有P-η-增生算子的变分包含问题(英文)[J].山东大学学报（理学版）,2010,45(3):96-101.
4戴德业.B值独立随机变量序列矩完全收敛性[J].佳木斯大学学报（自然科学版）,2007,25(5):677-678.
5王亚宁,刘教民.关于伪压缩映射Mann迭代程序的收敛过程[J].数学的实践与认识,2015,45(5):319-322.
6何穗.弱Hahn-Banach光滑Banach空间的一个特征性质(英文)[J].华中师范大学学报（自然科学版）,1990,24(1):19-21.
7周海云.Iterative Approximation of Fixed Points for Uniformly Continuous and Strongly Pseudocontractive Mappings in Smooth Banach Spaces[J].Chinese Quarterly Journal of Mathematics,1999,14(2):42-46.
8高兴慧,马乐荣.不动点问题和零点问题的公共元的具误差的迭代算法[J].西南师范大学学报（自然科学版）,2014,39(10):9-12. 被引量：6
9汪志明,刘凤池,张健,吴焕春.一类非线性Φ-强伪压缩映射Mann迭代序列的收敛性[J].唐山学院学报,2007,20(4):101-102.
10高兴慧,马乐荣,周海云.拟φ—非扩张映像族的公共不动点的强收敛定理[J].数学的实践与认识,2011,41(20):233-239. 被引量：1

哈尔滨师范大学自然科学学报

2014年第4期

浏览历史

内容加载中请稍等...

Banach空间中的一类广义太阳集及其相互关系

参考文献8

二级参考文献1

共引文献1

相关作者

相关机构

相关主题

浏览历史