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Intersection of a sequence of imbedded closed sets

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Abstract

A note on the metrical conditions for the intersection of imbedded bounded closed sets in Banach spaces to be nonempty.

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Literature cited

  1. M. Júza, “A note on complete metric spaces,” Mat.-fyz. Ĉasopis,6, No. 3, 143–148 (1956).

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Authors and Affiliations

  1. Computing Center, Academy of Sciences of the Georgian SSR, Georgia

    N. N. Vakhaniya & I. N. Kartsivadze

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  1. N. N. Vakhaniya
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  2. I. N. Kartsivadze
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Translated from Matematicheskie Zametki, Vol. 3, No. 2, pp. 165–170, February, 1968.

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Vakhaniya, N.N., Kartsivadze, I.N. Intersection of a sequence of imbedded closed sets. Mathematical Notes of the Academy of Sciences of the USSR 3, 106–109 (1968). https://doi.org/10.1007/BF01094329

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  • DOI: https://doi.org/10.1007/BF01094329

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