메뉴 건너뛰기




Volumn 370, Issue 1, 2010, Pages 224-241

Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter

Author keywords

Adjoint operator; Fenchel conjugate; Fitzpatrick function; Linear relation; Maximal monotone operator; Monotone operator; Multifunction; Skew operator; Unbounded linear monotone operator

Indexed keywords


EID: 77953024381     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2010.04.029     Document Type: Article
Times cited : (13)

References (24)
  • 1
    • 0012677529 scopus 로고    scopus 로고
    • Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators
    • Bauschke H.H., Borwein J.M. Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators. Pacific J. Math. 1999, 189:1-20.
    • (1999) Pacific J. Math. , vol.189 , pp. 1-20
    • Bauschke, H.H.1    Borwein, J.M.2
  • 2
    • 49449086907 scopus 로고    scopus 로고
    • Fitzpatrick functions and continuous linear monotone operators
    • Bauschke H.H., Borwein J.M., Wang X. Fitzpatrick functions and continuous linear monotone operators. SIAM J. Optim. 2007, 18:789-809.
    • (2007) SIAM J. Optim. , vol.18 , pp. 789-809
    • Bauschke, H.H.1    Borwein, J.M.2    Wang, X.3
  • 3
    • 33846522955 scopus 로고    scopus 로고
    • Fitzpatrick functions: inequalities, examples and remarks on a problem by S. Fitzpatrick
    • Bauschke H.H., McLaren D.A., Sendov H.S. Fitzpatrick functions: inequalities, examples and remarks on a problem by S. Fitzpatrick. J. Convex Anal. 2006, 13:499-523.
    • (2006) J. Convex Anal. , vol.13 , pp. 499-523
    • Bauschke, H.H.1    McLaren, D.A.2    Sendov, H.S.3
  • 4
    • 73549125456 scopus 로고    scopus 로고
    • Autoconjugate representers for linear monotone operators
    • Bauschke H.H., Wang X., Yao L. Autoconjugate representers for linear monotone operators. Math. Program. Ser. B 2010, 123:5-24.
    • (2010) Math. Program. Ser. B , vol.123 , pp. 5-24
    • Bauschke, H.H.1    Wang, X.2    Yao, L.3
  • 5
    • 73349135630 scopus 로고    scopus 로고
    • Monotone linear relations: maximality and Fitzpatrick functions
    • Bauschke H.H., Wang X., Yao L. Monotone linear relations: maximality and Fitzpatrick functions. J. Convex Anal. 2009, 16:673-686.
    • (2009) J. Convex Anal. , vol.16 , pp. 673-686
    • Bauschke, H.H.1    Wang, X.2    Yao, L.3
  • 7
    • 49449118568 scopus 로고    scopus 로고
    • Asplund decomposition of monotone operators
    • Borwein J.M., Wiersma H. Asplund decomposition of monotone operators. SIAM J. Optim. 2007, 18:946-960.
    • (2007) SIAM J. Optim. , vol.18 , pp. 946-960
    • Borwein, J.M.1    Wiersma, H.2
  • 11
    • 0038231522 scopus 로고
    • Representing monotone operators by convex functions
    • Austral. Nat. Univ., Canberra, Australia, Workshop/Miniconference on Functional Analysis and Optimization
    • Fitzpatrick S. Representing monotone operators by convex functions. Proc. Centre Math. Anal. Austral. Nat. Univ. 1988, vol. 20:59-65. Austral. Nat. Univ., Canberra, Australia.
    • (1988) Proc. Centre Math. Anal. Austral. Nat. Univ. , vol.20 , pp. 59-65
    • Fitzpatrick, S.1
  • 13
    • 22444453086 scopus 로고    scopus 로고
    • Unbounded linear monotone operators on nonreflexive Banach spaces
    • Phelps R.R., Simons S. Unbounded linear monotone operators on nonreflexive Banach spaces. J. Convex Anal. 1998, 5:303-328.
    • (1998) J. Convex Anal. , vol.5 , pp. 303-328
    • Phelps, R.R.1    Simons, S.2
  • 14
    • 4243129234 scopus 로고    scopus 로고
    • The relevance of convex analysis for the study of monotonicity
    • Penot J.-P. The relevance of convex analysis for the study of monotonicity. Nonlinear Anal. 2004, 58:855-871.
    • (2004) Nonlinear Anal. , vol.58 , pp. 855-871
    • Penot, J.-P.1
  • 15
    • 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. 1970, 149:75-88.
    • (1970) Trans. Amer. Math. Soc. , vol.149 , pp. 75-88
    • Rockafellar, R.T.1
  • 18
    • 33745936299 scopus 로고    scopus 로고
    • Fenchel duality, Fitzpatrick functions and maximal monotonicity
    • Simons S., Zâlinescu C. Fenchel duality, Fitzpatrick functions and maximal monotonicity. J. Nonlinear Convex Anal. 2005, 6:1-22.
    • (2005) J. Nonlinear Convex Anal. , vol.6 , pp. 1-22
    • Simons, S.1    Zâlinescu, C.2
  • 20
    • 77949385723 scopus 로고    scopus 로고
    • Non-enlargeable operators and self-cancelling operators
    • Svaiter B.F. Non-enlargeable operators and self-cancelling operators. J. Convex Anal. 2010, 17:309-320.
    • (2010) J. Convex Anal. , vol.17 , pp. 309-320
    • Svaiter, B.F.1
  • 21
    • 54849421042 scopus 로고    scopus 로고
    • The sum theorem for linear maximal monotone operators
    • Voisei M.D. The sum theorem for linear maximal monotone operators. Math. Sci. Res. J. 2006, 10:83-85.
    • (2006) Math. Sci. Res. J. , vol.10 , pp. 83-85
    • Voisei, M.D.1
  • 22
    • 76649138941 scopus 로고    scopus 로고
    • Linear monotone subspaces of locally convex spaces
    • Voisei M.D., Zâlinescu C. Linear monotone subspaces of locally convex spaces. Set-Valued Var. Anal. 2010, 18:29-55.
    • (2010) Set-Valued Var. Anal. , vol.18 , pp. 29-55
    • Voisei, M.D.1    Zâlinescu, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.