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Volumn 34, Issue 2, 1997, Pages 371-380

Maximal monotone operators in the one dimensional case

Author keywords

Cyclically monotone; Maximal monotone operator; Subdifferential of a convex function

Indexed keywords


EID: 53249132853     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (11)
  • 1
    • 84972540566 scopus 로고
    • A note on ∈-subgradients and maximal monotonicity
    • J. M. Borwein, A note on ∈-subgradients and maximal monotonicity, Pacific. J. Math. 103 (1982), 307-314.
    • (1982) Pacific. J. Math. , vol.103 , pp. 307-314
    • Borwein, J.M.1
  • 2
    • 84966198944 scopus 로고
    • Nonconvex minimization problems
    • I. Ekeland, Nonconvex minimization problems, Bull. Amer. Math. Soc. 1 (1979), 443-474.
    • (1979) Bull. Amer. Math. Soc. , vol.1 , pp. 443-474
    • Ekeland, I.1
  • 3
    • 0000531094 scopus 로고
    • On the maximal domain of a monotone function
    • G. J. Minty, On the maximal domain of a monotone function, Michigan Math. J. 8 (1961), 135-137.
    • (1961) Michigan Math. J. , vol.8 , pp. 135-137
    • Minty, G.J.1
  • 4
    • 84972488065 scopus 로고
    • Monotone (nonlinear) operators in Hilbert space
    • G. J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J. 29 (1962), 341-346.
    • (1962) Duke Math. J. , vol.29 , pp. 341-346
    • Minty, G.J.1
  • 5
    • 0003323056 scopus 로고
    • Convex functions, monotone operators and differentiability
    • Springer-Verlag. Second Edition
    • R. R. Phelps, Convex Functions, Monotone Operators and Differentiability, Lecture Notes in Math. 1364, Springer-Verlag. Second Edition, 1993.
    • (1993) Lecture Notes in Math. , vol.1364
    • Phelps, R.R.1
  • 6
    • 84972582929 scopus 로고
    • On the maximal monotonicity of subdifferential mappings
    • R. T. Rockafellar, 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
  • 7
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, N. J.
    • R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, N. J., 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 8
    • 84971790885 scopus 로고
    • Subdifferentials are locally maximal monotone
    • S. Simons, Subdifferentials are locally maximal monotone, Bull. Australian Math. Soc. 47 (1993), 465-471.
    • (1993) Bull. Australian Math. Soc. , vol.47 , pp. 465-471
    • Simons, S.1
  • 9
    • 38149146079 scopus 로고
    • Subtangents with controlled slope
    • S. Simons, Subtangents with controlled slope, Nonlinear Analysis TMA 22 (1994), 1373-1389.
    • (1994) Nonlinear Analysis TMA , vol.22 , pp. 1373-1389
    • Simons, S.1
  • 10
    • 0042411892 scopus 로고
    • Swimming below icebergs
    • S. Simons, Swimming below icebergs, Set-Valued Analysis 2 (1994), 327-337.
    • (1994) Set-Valued Analysis , vol.2 , pp. 327-337
    • Simons, S.1
  • 11
    • 84972498459 scopus 로고
    • Subgradients of a convex function obtained from a directional derivative
    • H. D. Taylor, Subgradients of a convex function obtained from a directional derivative, Pacific J. Math. 44 (1973), 739-747.
    • (1973) Pacific J. Math. , vol.44 , pp. 739-747
    • Taylor, H.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.