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The Connection Between the Metric and Generalized Projection Operators in Banach Spaces 被引量:4
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作者 Yakov ALBER Jin Lu LI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第6期1109-1120,共12页
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 pr... 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. 展开更多
关键词 Banach spaces normalized duality mappings metric and generalized projection operators variational inequalities minimization problems closed and convex subsets and cones
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