Banach空间中的弱凸集和W-太阳集

关伟波, 宋文

数学学报 ›› 2010, Vol. 53 ›› Issue (1) : 45-50.

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数学学报 ›› 2010, Vol. 53 ›› Issue (1) : 45-50. DOI: 10.12386/A2010sxxb0006
论文

Banach空间中的弱凸集和W-太阳集

    关伟波, 宋文
作者信息 +

Weakly Convex Set and W-Sun Set in Banach Spaces

    Wei Bo GUAN, Wen SONG
Author information +
文章历史 +

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.

Abstract

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.

关键词

广义投影算子 / 弱凸集 / W-太阳集

Key words

generalized projection operator / weakly convex set / W-sun set

引用本文

导出引用
关伟波, 宋文. Banach空间中的弱凸集和W-太阳集. 数学学报, 2010, 53(1): 45-50 https://doi.org/10.12386/A2010sxxb0006
Wei Bo GUAN, Wen SONG. Weakly Convex Set and W-Sun Set in Banach Spaces. Acta Mathematica Sinica, Chinese Series, 2010, 53(1): 45-50 https://doi.org/10.12386/A2010sxxb0006

参考文献


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[7] Alber Ya., Generalized Projection Operators in Banach Spaces: Properties and Applications, in: Theory and Applications of Nonlinear Operators of Accretive and Monotone Type (A. Kartsatos, Ed.), 15--50, Marcel Dekker, Inc, 1996.

[8] Alber Ya., Decomposition theorem in Banach spaces, Fields Institute Communications, 2000, 25: 77--93.

[9] Hu S. G., Shi B. C., Principles of Optimation, Wuhan: Huazhong University of Science and Technology Press, 2000 (in Chinese).

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)

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