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The Connection Between the Metric and Generalized Projection Operators in Banach Spaces 被引量:4

The Connection Between the Metric and Generalized Projection Operators in Banach Spaces
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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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第6期1109-1120,共12页 数学学报(英文版)
关键词 Banach spaces normalized duality mappings metric and generalized projection operators variational inequalities minimization problems closed and convex subsets and cones Banach spaces, normalized duality mappings, metric and generalized projection operators,variational inequalities, minimization problems, closed and convex subsets and cones
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