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Volumn 56, Issue 1-2, 2007, Pages 149-169

The Hahn-Banach-Lagrange theorem

Author keywords

Conjugate function; Convex function; Fenchel duality; Hahn Banach theorems; Lagrange multipliers for convex problems; Minimax theorem; Sublinear functional

Indexed keywords


EID: 33845908482     PISSN: 02331934     EISSN: 10294945     Source Type: Journal    
DOI: 10.1080/02331930600819969     Document Type: Article
Times cited : (24)

References (17)
  • 1
    • 0013468395 scopus 로고
    • Duality for the sum of convex functions in general Banach spaces
    • J.A. Barroso Ed, Amsterdam: Elsevier Science Publishers, pp
    • Attouch, H. and Brezis, H., 1986, Duality for the sum of convex functions in general Banach spaces. In: J.A. Barroso (Ed.) Aspects of Mathematics and its Applications (Amsterdam: Elsevier Science Publishers), pp. 125-133.
    • (1986) Aspects of Mathematics and its Applications , pp. 125-133
    • Attouch, H.1    Brezis, H.2
  • 2
    • 33644528747 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for stable conjugate duality
    • Burachik, R.S., Jeyakumar, V. and Wu, Z.-Y., 2006, Necessary and sufficient conditions for stable conjugate duality. Nonlinear Analysis, 64, 1998-2006.
    • (2006) Nonlinear Analysis , vol.64 , pp. 1998-2006
    • Burachik, R.S.1    Jeyakumar, V.2    Wu, Z.-Y.3
  • 5
    • 0003577497 scopus 로고    scopus 로고
    • Princeton-Toronto-London-Melbourne: D. Van Nostrand Co, Inc
    • Kelley, J.L., Namioka, I. and coauthors, Linear Topological Spaces (Princeton-Toronto-London-Melbourne: D. Van Nostrand Co., Inc).
    • Linear Topological Spaces
    • Kelley, J.L.1    Namioka, I.2
  • 6
    • 0040913553 scopus 로고
    • Some basic theorems in convex analysis
    • B. Korte Ed, Amsterdam, New York: North-Holland
    • König, H., 1982, Some basic theorems in convex analysis. In: B. Korte (Ed.) Optimization and Operations Research (Amsterdam, New York: North-Holland).
    • (1982) Optimization and Operations Research
    • König, H.1
  • 7
    • 0004098975 scopus 로고
    • New York-Chichester-Brisbane-Toronto-Singapore: John Wiley & Sons, Inc
    • Luenberger, D.L., 1969, Optimization by Vector Space Methods (New York-Chichester-Brisbane-Toronto-Singapore: John Wiley & Sons, Inc).
    • (1969) Optimization by Vector Space Methods
    • Luenberger, D.L.1
  • 9
    • 84972539430 scopus 로고
    • Extension of Fenchel's duality theorem for convex functions
    • Rockafellar, R.T., 1966, Extension of Fenchel's duality theorem for convex functions. Duke Mathematical Journal, 33, 81-89.
    • (1966) Duke Mathematical Journal , vol.33 , pp. 81-89
    • Rockafellar, R.T.1
  • 12
    • 0041625072 scopus 로고
    • Minimal sublinear functionals
    • Simons, S., 1970, Minimal sublinear functionals. Studia Mathematica, 37, 37-56.
    • (1970) Studia Mathematica , vol.37 , pp. 37-56
    • Simons, S.1
  • 13
    • 33845909624 scopus 로고    scopus 로고
    • Simons, S., 1998, Minimax and Monotonicity, Lecture Notes in Mathematics, 1693 (Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, Barcelona, Budapest: Springer-Verlag).
    • Simons, S., 1998, Minimax and Monotonicity, Lecture Notes in Mathematics, Vol. 1693 (Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, Barcelona, Budapest: Springer-Verlag).
  • 14
    • 0041851184 scopus 로고    scopus 로고
    • A new version of the Hahn-Banach theorem
    • Simons, S., 2003, A new version of the Hahn-Banach theorem. Archives of Mathematics, 80, 630-646.
    • (2003) Archives of Mathematics , vol.80 , pp. 630-646
    • Simons, S.1
  • 15
    • 33845893632 scopus 로고    scopus 로고
    • Hahn-Banach theorems and maximal monotonicity
    • F. Giannessi and A. Maugeri Eds, Dordrecht: Kluwer Acad Publ
    • Simons, S., 2004, Hahn-Banach theorems and maximal monotonicity. In: F. Giannessi and A. Maugeri (Eds) Variational Analysis and Applications (Dordrecht: Kluwer Acad Publ.).
    • (2004) Variational Analysis and Applications
    • Simons, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.