| The Connection Between the Metric and Generalized Projection Operators in Banach Spaces |
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| 作者姓名： | Yakov ALBER Jin Lu LI |
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| 作者单位： | [1]Department of Mathematics, Technion Israel Institute of Technology, 32000, Haifa, Israel [2]Department of Mathematical Sciences, Shawnee State University Portsmouth, Ohio 45662, USA |
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| 摘 要： | In this paper we study the connection between the metric projection operator PK ： B →K, where B is a reflexive Banach space with dual space B^＊ and K is a non-empty closed convex subset of B, and the generalized projection operators ∏K ： B → K and πK ： B^＊ → K. We also present some results in non-reflexive Banach spaces.
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| 关 键 词： | Banach空间 对偶性映射 投射算子 变更不等式 |
| 收稿时间： | 25 March 2005 |
| 修稿时间： | 2005-03-252005-06-29 |
The Connection Between the Metric and Generalized Projection Operators in Banach Spaces |
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| Yakov ALBER Jin Lu LI.The Connection Between the Metric and Generalized Projection Operators in Banach Spaces[J].Acta Mathematica Sinica,2007,23(6):1109-1120. |
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| Authors: | Yakov Alber Jin Lu Li |
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| Institution: | (1) Department of Mathematics, Technion Israel Institute of Technology, 32000 Haifa, Israel;(2) Department of Mathematical Sciences, Shawnee State University Portsmouth, Ohio 45662, USA |
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| Abstract: | In this paper we study the connection between the metric projection operator P
K
: B → K, where B is a reflexive Banach space with dual space B* and K is a non–empty closed convex subset of B, and the generalized projection operators ∏
K
: B → K and π
K
: B* → K. We also present some results in non–reflexive Banach spaces. |
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| Keywords: | Banach spaces normalized duality mappings metric and generalized projection operators variational inequalities minimization problems closed and convex subsets and cones |
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