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Volumn 6, Issue 3, 1998, Pages 303-312

Regular Maximal Monotone Operators

Author keywords

Banach space; Convex function; Maximal monotone operator; Regular monotone operator; Sum theorem

Indexed keywords


EID: 0043190069     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008679427671     Document Type: Article
Times cited : (13)

References (16)
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    • Attouch, H.1    Brézis, H.2
  • 2
    • 0000208446 scopus 로고    scopus 로고
    • Somme ponctuelle d'opérateurs maximaux monotones
    • Attouch, H., Riahi, H. and Théra, M.: Somme ponctuelle d'opérateurs maximaux monotones, Serdica Math. J. 22 (1996), 267-292.
    • (1996) Serdica Math. J. , vol.22 , pp. 267-292
    • Attouch, H.1    Riahi, H.2    Théra, M.3
  • 3
    • 84973937890 scopus 로고
    • Local boundedness of monotone operators under minimal hypotheses
    • Borwein, J. M. and Fitzpatrick, S. P.: Local boundedness of monotone operators under minimal hypotheses, Bull. Austral. Math. Soc. 39 (1989), 439-441.
    • (1989) Bull. Austral. Math. Soc. , vol.39 , pp. 439-441
    • Borwein, J.M.1    Fitzpatrick, S.P.2
  • 4
    • 0039926123 scopus 로고    scopus 로고
    • The convex function determined by a multifunction
    • Coodey, M. and Simons, S.: The convex function determined by a multifunction, Bull. Austral. Math. Soc. 54 (1996), 87-97.
    • (1996) Bull. Austral. Math. Soc. , vol.54 , pp. 87-97
    • Coodey, M.1    Simons, S.2
  • 6
    • 0041116334 scopus 로고
    • Some properties of maximal monotone operators on nonreflexive Banach spaces
    • Fitzpatrick, S. P. and Phelps, R. R.: Some properties of maximal monotone operators on nonreflexive Banach spaces, Set-Valued Anal. 3 (1995), 51-69.
    • (1995) Set-Valued Anal. , vol.3 , pp. 51-69
    • Fitzpatrick, S.P.1    Phelps, R.R.2
  • 8
    • 0001091630 scopus 로고
    • Local boundedness of nonlinear monotone operators
    • Rockafellar, R. T.: Local boundedness of nonlinear monotone operators, Michigan Math. J. 16 (1969), 397-407.
    • (1969) Michigan Math. J. , vol.16 , pp. 397-407
    • Rockafellar, R.T.1
  • 9
    • 84972582929 scopus 로고
    • On the maximal monotonicity of subdifferential mappings
    • Rockafellar, R. T.: On the maximal monotonicity of subdifferential mappings, Pacific J. Math. 33 (1970), 209-216.
    • (1970) Pacific J. Math. , vol.33 , pp. 209-216
    • Rockafellar, R.T.1
  • 10
    • 84966211401 scopus 로고
    • On the maximality of sums of nonlinear monotone operators
    • Rockafellar, R. T.: On the maximality of sums of nonlinear monotone operators, Trans. Amer. Math. Soc. 149 (1970), 75-88.
    • (1970) Trans. Amer. Math. Soc. , vol.149 , pp. 75-88
    • Rockafellar, R.T.1
  • 11
    • 0011667369 scopus 로고
    • On the virtual convexity of the domain and range of a nonlinear maximal monotone operator
    • Rockafellar, R. T.: On the virtual convexity of the domain and range of a nonlinear maximal monotone operator, Math. Ann. 185 (1970), 81-90.
    • (1970) Math. Ann. , vol.185 , pp. 81-90
    • Rockafellar, R.T.1
  • 12
    • 0026238781 scopus 로고
    • The least slope of a convex function and the maximal monotonicity of its subdifferential
    • Simons, S.: The least slope of a convex function and the maximal monotonicity of its subdifferential, J. Optim. Theory 71 (1991), 127-136.
    • (1991) J. Optim. Theory , vol.71 , pp. 127-136
    • Simons, S.1
  • 13
    • 0009323251 scopus 로고
    • Subdifferentials of convex functions
    • Contemp. Math. Amer. Math. Soc., Providence
    • Simons, S.: Subdifferentials of convex functions, in: Recent Developments in Optimization Theory and Nonlinear Analysis, Contemp. Math. 204, Amer. Math. Soc., Providence, 1995, pp. 217-247.
    • (1995) Recent Developments in Optimization Theory and Nonlinear Analysis , vol.204 , pp. 217-247
    • Simons, S.1
  • 14
    • 22044448685 scopus 로고    scopus 로고
    • Sum theorems for monotone operators and convex functions
    • Simons, S.: Sum theorems for monotone operators and convex functions, Trans. Amer. Math. Soc. 350 (1998), 2953-2972.
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 2953-2972
    • Simons, S.1
  • 15
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    • Locally efficient monotone operators
    • Verona, A. and Verona, M. E.: Locally efficient monotone operators, Proc. Amer. Math. Soc. 109 (1990), 195-204.
    • (1990) Proc. Amer. Math. Soc. , vol.109 , pp. 195-204
    • Verona, A.1    Verona, M.E.2
  • 16
    • 0041627266 scopus 로고
    • Remarks on subgradients and ε-subgradients
    • Verona, A. and Verona, M. E.: Remarks on subgradients and ε-subgradients, Set-Valued Anal. 1 (1993), 261-272.
    • (1993) Set-Valued Anal. , vol.1 , pp. 261-272
    • Verona, A.1    Verona, M.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.