Porous sets for mutually nearest points in Banach spaces

• Autorzy: Li C. , Myjak J
• Języki publikacji: EN

Abstrakty

EN

Let B(X) denote the family of all nonempty closed bounded subsets of a real Banach space X, endowed with the Hausdorff metric. For E, F ∈ B (X) we set [formula]. Let D denote the closure (under the maximum distance) of the set of all (E, F) ∈ B (X) x B (X) such that λE,F > 0. It is proved that the set of all (E, F) ∈ D for which the minimization problem [formula] fails to be well posed in a σ-porous subset of D.

Słowa kluczowe

EN

minimization problem; well-posedness; Hp-topology; porous set

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 1
• Strony: 73--82
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Li C.

autor

Myjak J

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow [Myjak, J.],

Bibliografia

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