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Volumn 279, Issue 5-6, 2006, Pages 599-618

Measuring the degree of pointedness of a closed convex cone: A metric approach

Author keywords

Elliptic cone; Pointed cone; Polarity; Radius of pointedness; Radius of solidity; Solid cone

Indexed keywords


EID: 33645656211     PISSN: 0025584X     EISSN: 15222616     Source Type: Journal    
DOI: 10.1002/mana.200310380     Document Type: Article
Times cited : (18)

References (11)
  • 2
    • 84968469551 scopus 로고
    • A theorem on convex cones with applications to linear inequalities
    • J. W. Gaddum, A theorem on convex cones with applications to linear inequalities, Proc. Amer. Math. Soc. 3, 957-960 (1952).
    • (1952) Proc. Amer. Math. Soc. , vol.3 , pp. 957-960
    • Gaddum, J.W.1
  • 5
    • 4544332997 scopus 로고    scopus 로고
    • Pointedness, connectedness, and convergence results in the space of closed convex cones
    • A. Iusem and A. Seeger, Pointedness, connectedness, and convergence results in the space of closed convex cones, J. Convex Anal. 11, 267-284 (2004).
    • (2004) J. Convex Anal. , vol.11 , pp. 267-284
    • Iusem, A.1    Seeger, A.2
  • 6
    • 33645699341 scopus 로고    scopus 로고
    • Axiomatization of the index of pointedness for closed convex cones
    • A. Iusem and A. Seeger, Axiomatization of the index of pointedness for closed convex cones, Comput. Appl. Math. 24, 245-283 (2005).
    • (2005) Comput. Appl. Math. , vol.24 , pp. 245-283
    • Iusem, A.1    Seeger, A.2
  • 7
    • 0001650577 scopus 로고
    • Décomposition orthogonale d'un espace hilbertien selon deux cônes mutuellement polaires
    • J. J. Moreau, Décomposition orthogonale d'un espace hilbertien selon deux cônes mutuellement polaires, C. R. Acad. Sci. Paris Sér. I Math. 255, 238-240 (1962).
    • (1962) C. R. Acad. Sci. Paris Sér. I Math. , vol.255 , pp. 238-240
    • Moreau, J.J.1
  • 8
    • 0004267646 scopus 로고
    • Princeton Univ. Press, Princeton, New Jersey
    • R. T. Rockafellar, Convex Analysis (Princeton Univ. Press, Princeton, New Jersey, 1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 10
    • 0040455311 scopus 로고    scopus 로고
    • Degree of pointedness of a convex function
    • A. Seeger, Degree of pointedness of a convex function, Bull. Austral. Math. Soc. 53, 159-167 (1996).
    • (1996) Bull. Austral. Math. Soc. , vol.53 , pp. 159-167
    • Seeger, A.1
  • 11
    • 84966216030 scopus 로고
    • Continuity of some convex-cone-valued mappings
    • D. W. Walkup and R. J. B. Wets, Continuity of some convex-cone-valued mappings, Proc. Amer. Math. Soc. 18, 229-235 (1967).
    • (1967) Proc. Amer. Math. Soc. , vol.18 , pp. 229-235
    • Walkup, D.W.1    Wets, R.J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.