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Volumn 19, Issue 1, 2008, Pages 211-216

Well posed optimization problems and nonconvex Chebyshev sets in Hilbert spaces

Author keywords

Chebyshev sets; Hilbert spaces; Metric projections

Indexed keywords

APPROXIMATION THEORY;

EID: 61349185201     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/06067496X     Document Type: Article
Times cited : (7)

References (11)
  • 1
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    • E. ASPLUND, Čebyšev sets in Hubert space, Trans. Amer. Math. Soc, 144 (1969), pp. 235-240.
    • (1969) Trans. Amer. Math. Soc , vol.144 , pp. 235-240
    • ASPLUND, E.1
  • 2
    • 0039466372 scopus 로고    scopus 로고
    • The problem of the convexity of Chebyshev sets
    • V. S. BALAGANSKIǏ AND L. P. VLASOV, The problem of the convexity of Chebyshev sets, Russian Math. Surveys, 51 (1996), pp. 1127-1190.
    • (1996) Russian Math. Surveys , vol.51 , pp. 1127-1190
    • BALAGANSKIǏ, V.S.1    VLASOV, L.P.2
  • 3
    • 33746874498 scopus 로고    scopus 로고
    • Geometric properties of Banach spaces and the existence of nearest and farthest points
    • S. COBZAŞ Geometric properties of Banach spaces and the existence of nearest and farthest points, Abstr. Appl. Anal., 3 (2005), pp. 259-285.
    • (2005) Abstr. Appl. Anal , vol.3 , pp. 259-285
    • COBZAŞ, S.1
  • 5
    • 0041173142 scopus 로고
    • Support properties of sets in Banach spaces and Čebyšev sets
    • N. V. EFIMOV AND S. B. STECHKIN, Support properties of sets in Banach spaces and Čebyšev sets, Dokl. Akad. Nauk SSSR, 127 (1959), pp. 254-257.
    • (1959) Dokl. Akad. Nauk SSSR , vol.127 , pp. 254-257
    • EFIMOV, N.V.1    STECHKIN, S.B.2
  • 6
    • 0041173143 scopus 로고
    • Approximative compactness and Chebyshev sets
    • N. V. EFIMOV AND S. B. STECHKIN, Approximative compactness and Chebyshev sets, Dokl. Akad. Nauk SSSR, 140 (1961), pp. 522-524.
    • (1961) Dokl. Akad. Nauk SSSR , vol.140 , pp. 522-524
    • EFIMOV, N.V.1    STECHKIN, S.B.2
  • 7
    • 38249033425 scopus 로고
    • A nonconvex set which has the unique nearest point property
    • G. G. JOHNSON, A nonconvex set which has the unique nearest point property, J. Approx. Theory, 51 (1987), pp. 289-332.
    • (1987) J. Approx. Theory , vol.51 , pp. 289-332
    • JOHNSON, G.G.1
  • 8
    • 0041427219 scopus 로고
    • Remarks on nearest points in normed linear spaces
    • Copenhagen, Kobenhavns Univ. Mat. Inst, Copenhagen, pp
    • V. L. KLEE, Remarks on nearest points in normed linear spaces, in Proceedings of the Colloquium on Convexity (Copenhagen, 1965), Kobenhavns Univ. Mat. Inst., Copenhagen, pp. 168-176.
    • (1965) Proceedings of the Colloquium on Convexity , pp. 168-176
    • KLEE, V.L.1
  • 9
    • 38849118493 scopus 로고    scopus 로고
    • 2 functional around noncritical points is well-posed
    • 2 functional around noncritical points is well-posed, Proc. Amer. Math. Soc., 135 (2007), pp. 2187-2191.
    • (2007) Proc. Amer. Math. Soc , vol.135 , pp. 2187-2191
    • RICCERI, B.1
  • 10
    • 84956211934 scopus 로고
    • Approximative properties of sets in normed linear spaces
    • L. P. VLASOV, Approximative properties of sets in normed linear spaces, Russian Math. Surveys, 28 (1973), pp. 1-66.
    • (1973) Russian Math. Surveys , vol.28 , pp. 1-66
    • VLASOV, L.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.