The Problem of Image Recovery by the Metric Projections in Banach Spaces | Zendy

Yasunori Kimura | Zendy; Kazuhide Nakajo | Zendy

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The Problem of Image Recovery by the Metric Projections in Banach Spaces

Author(s) -

Yasunori Kimura,

Kazuhide Nakajo

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/817392

Subject(s) - mathematics , banach space , intersection (aeronautics) , countable set , sequence (biology) , regular polygon , metric space , image (mathematics) , pure mathematics , metric (unit) , convergence (economics) , discrete mathematics , geometry , artificial intelligence , operations management , biology , economic growth , computer science , engineering , economics , genetics , aerospace engineering

We consider the problem of image recovery by the metric projections in a real Banach space. For a countable family of nonempty closed convex subsets, we generate an iterative sequence converging weakly to a point in the intersection of these subsets. Our convergence theorems extend the results proved by Bregman and Crombez

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