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Volumn 132, Issue 10, 2004, Pages 2969-2972

A new proof for Rockafellar's characterization of maximal monotone operators

Author keywords

Convex function; Duality mapping; Maximal monotone operator

Indexed keywords


EID: 5644292074     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07462-3     Document Type: Article
Times cited : (38)

References (8)
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  • 2
    • 0038231522 scopus 로고
    • Representing monotone operators by convex functions
    • (Canberra, 1988), Austral. Nat. Univ., Canberra
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    • Fitzpatrick, S.1
  • 3
    • 0001763991 scopus 로고
    • Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs
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    • J.-P. Gossez, Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs J. Math. Anal. Appl. 34 (1971), 371-395. MR 47:2442
    • (1971) J. Math. Anal. Appl. , vol.34 , pp. 371-395
    • Gossez, J.-P.1
  • 4
    • 0038570235 scopus 로고    scopus 로고
    • A convex representation of maximal monotone operators
    • MR 2002e:49035
    • J. E. Martinez-Legaz and M. Théra, A convex representation of maximal monotone operators, J. Nonlinear Convex Anal. 2 (2001), 243-247. MR 2002e:49035
    • (2001) J. Nonlinear Convex Anal. , vol.2 , pp. 243-247
    • Martinez-Legaz, J.E.1    Théra, M.2
  • 5
    • 0037893963 scopus 로고    scopus 로고
    • The relevance of convex analysis for the study of monotonicity
    • University of Pau, Pau
    • J.-P. Penot, The relevance of convex analysis for the study of monotonicity, Tech. report, University of Pau, Pau, 2002.
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  • 6
    • 84966211401 scopus 로고
    • On the maximality of sums of nonlinear monotone operators
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    • R. T. Rockafellar, On the maximality of sums of nonlinear monotone operators, Trans. Amer. Math. Soc. 149 (1970), 75-88. MR 43:7984
    • (1970) Trans. Amer. Math. Soc. , vol.149 , pp. 75-88
    • Rockafellar, R.T.1
  • 7
    • 0012712796 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin, MR 2001h:49002
    • S. Simons, Minimax and monotonicity, Springer-Verlag, Berlin, 1998. MR 2001h:49002
    • (1998) Minimax and Monotonicity
    • Simons, S.1
  • 8
    • 0005554888 scopus 로고    scopus 로고
    • Maximal monotone multifunction of Brøndsted-Rockafellar type
    • MR 2001b:47100
    • S. Simons, Maximal monotone multifunction of Brøndsted-Rockafellar type, Set-Valued Anal. 7 (1999), 255-294. MR 2001b:47100
    • (1999) Set-Valued Anal. , vol.7 , pp. 255-294
    • Simons, S.1


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