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Volumn 10, Issue 1-2, 1989, Pages 15-36

Support and distance functionals for convex sets

Author keywords

[No Author keywords available]

Indexed keywords

CONVEX SETS; DISTANCE FUNCTIONALS; SUPPORT FUNCTIONALS; TOPOLOGY;

EID: 0024304072     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630568908816288     Document Type: Article
Times cited : (32)

References (31)
  • 1
    • 0003513119 scopus 로고
    • Variational convergence for functions and operators
    • H. Attouch, Variational convergence for functions and operators, Pitman Publishers, Boston 1984.
    • (1984) Pitman Publishers, Boston
    • Attouch, H.1
  • 2
    • 84953550753 scopus 로고
    • Applied functional analysis
    • J. P. Aubln, Applied functional analysis, Wiley, New York, 1979.
    • (1979) Wiley, New York
    • Aubln, J.P.1
  • 3
    • 84894642554 scopus 로고
    • Convergence of sequences of sets, In Methods of functional analysis in approximation theory
    • M. Barontl and P. Paplnl, Convergence of sequences of sets, In Methods of functional analysis in approximation theory, ISNM 76, BlrkhSuser verlag, 1986.
    • (1986) ISNM 76, BlrkhSuser verlag
    • Barontl, M.1    Paplnl, P.2
  • 4
    • 1542576795 scopus 로고    scopus 로고
    • Metric spaces with nice closed balls and distance functions for closed sets
    • Bull. Australian Math. Soc.
    • G. Beer, Metric spaces with nice closed balls and distance functions for closed sets, Bull. Australian Math. Soc. 35 (1987), 81–96.
    • , vol.35 , pp. 81-96
    • Beer, G.1
  • 5
    • 84974183744 scopus 로고
    • On Mosco convergence of convex sets
    • __ On Mosco convergence of convex sets, Bull. Australian Math. SOC. 38 (1988), 239–253.
    • (1988) Bull. Australian Math. SOC. , vol.38 , pp. 239-253
  • 9
    • 84966208061 scopus 로고
    • On the arg min multifunction for lower semicontinuous functions
    • G. Beer and P. Kenderov, On the arg min multifunction for lower semicontinuous functions, Proc. Amer. Math. Soc. 102 (1988), 107–113.
    • (1988) Proc. Amer. Math. Soc. , vol.102 , pp. 107-113
    • Beer, G.1    Kenderov, P.2
  • 11
    • 0013527622 scopus 로고
    • Weak convergence of convex sets in Banach spaces
    • F. De Blasi and J. Myjak, Weak convergence of convex sets in Banach spaces, Arch. Math. 42 (1986), 448–456.
    • (1986) Arch. Math. , vol.42 , pp. 448-456
    • De Blasi, F.1    Myjak, J.2
  • 12
  • 13
    • 84966253677 scopus 로고
    • A Hausdorff topology for the closed subsets of a locally compact non-Hausdorff space
    • J. Fell, A Hausdorff topology for the closed subsets of a locally compact non-Hausdorff space, Proc. Amer. Math. Soc. 11 (1962), 472–476.
    • (1962) Proc. Amer. Math. Soc. , vol.11 , pp. 472-476
    • Fell, J.1
  • 14
    • 51649196332 scopus 로고
    • The structure of algebras of operator fields
    • __ The structure of algebras of operator fields, Acta Math. 106 (1961), 233–280.
    • (1961) Acta Math. , vol.106 , pp. 233-280
  • 16
    • 0001294719 scopus 로고
    • Quasi-uniformlzatlon of hyperspaces and convergence of nets of semicontinuous multifunctions
    • S. Francaviglia, A. Lechicki, and S. Levi, Quasi-uniformlzatlon of hyperspaces and convergence of nets of semicontinuous multifunctions, J. Math. Anal. Appl. 112(1985), 347–370.
    • (1985) J. Math. Anal. Appl. , vol.112 , pp. 347-370
    • Francaviglia, S.1    Lechicki, A.2    Levi, S.3
  • 17
    • 84916151525 scopus 로고
    • Concerning topological convergence of sets
    • Z. Frolik, Concerning topological convergence of sets, Czech. Math. J. 10(1960), 168–179.
    • (1960) Czech. Math. J. , vol.10 , pp. 168-179
    • Frolik, Z.1
  • 19
    • 0000042080 scopus 로고
    • Line famine de topologies sur l’ensemble des fonctions convexes pour lesquelles la polarite est bicontinue
    • J. Joly, Line famine de topologies sur l’ensemble des fonctions convexes pour lesquelles la polarite est bicontinue J. Math. Pures Appl. 12 (1973), 421–441.
    • (1973) J. Math. Pures Appl. , vol.12 , pp. 421-441
    • Joly, J.1
  • 23
    • 0000029197 scopus 로고
    • Preservation of convergence of convex sets and functions in finite dimensions
    • L. McLinden and R. Bergstrom, Preservation of convergence of convex sets and functions in finite dimensions, Trans. Amer. Math. Soc. 258 (1981), 127–142.
    • (1981) Trans. Amer. Math. Soc. , vol.258 , pp. 127-142
    • McLinden, L.1    Bergstrom, R.2
  • 24
    • 84966237569 scopus 로고
    • Topologies on spaces of subsets
    • E. Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152–182.
    • (1951) Trans. Amer. Math. Soc. , vol.71 , pp. 152-182
    • Michael, E.1
  • 25
    • 0010671416 scopus 로고
    • Convergence of convex sets and of solutions of variational inequalities
    • U. Mosco, Convergence of convex sets and of solutions of variational inequalities, Advances in Math. 2 (1969), 510–585,
    • (1969) Advances in Math. , vol.2 , pp. 510-585
    • Mosco, U.1
  • 26
    • 0000471228 scopus 로고
    • On the continuity of the Young-Fenchel transform
    • __ On the continuity of the Young-Fenchel transform, J. Math. Anal, Appl. 25(1971), 518–535.
    • (1971) J. Math. Anal, Appl. , vol.25 , pp. 518-535
  • 27
    • 0011368536 scopus 로고
    • On the convergence of nets of sets
    • S. Mrowka, On the convergence of nets of sets, Fund. Math. 45 (1958), 237–245
    • (1958) Fund. Math. , vol.45 , pp. 237-245
    • Mrowka, S.1
  • 28
    • 0010745848 scopus 로고
    • On the relation between two types of convergence for convex functions
    • G. Salinetti and R. Wets, On the relation between two types of convergence for convex functions, J. Math. Anal. Appl. 60. (1977), 211–226,
    • (1977) J. Math. Anal. Appl. , vol.60 , pp. 211-226
    • Salinetti, G.1    Wets, R.2
  • 29
    • 0001829182 scopus 로고
    • On the convergence of sequences of convex sets In finite dimensions
    • _, On the convergence of sequences of convex sets In finite dimensions, SIAM Rev. 21 (1979), 18–33.
    • (1979) SIAM Rev. , vol.21 , pp. 18-33
  • 30
    • 84953550760 scopus 로고
    • Convergence au sens de Mosco; theorie et applications a l’approximation des solutions d’inequations
    • Y. Sonntag, Convergence au sens de Mosco; theorie et applications a l’approximation des solutions d’inequations. These d’Etat. Universite de Provence, Marseille, 1982.
    • (1982) These d’Etat. Universite de Provence, Marseille
    • Sonntag, Y.1
  • 31
    • 0002757701 scopus 로고
    • Convergence of sequences of convex sets, cones, and functions, II
    • R. Wiisman Convergence of sequences of convex sets, cones, and functions, II, Trans. Amer. Math. Soc. 123 (1966), 32–45.
    • (1966) Trans. Amer. Math. Soc. , vol.123 , pp. 32-45
    • Wiisman, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.