Characterization of the subdifferentials of convex functions.
R. T. Rockafellar
Source: Pacific J. Math. Volume 17, Number 3 (1966), 497-510.
Primary Subjects: 46.45
Secondary Subjects: 47.80
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102994514
Zentralblatt MATH identifier:
0145.15901
Mathematical Reviews number (MathSciNet):
MR0193549
References
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MR49:9736
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0008.07708
[2] A. Brndsted, Conjugate convex functions in topologicalvector spaces, Mat. Fys. Medd. Dansk. Vid. Selsk. 34, No. 2, 1964.
Mathematical Reviews (MathSciNet):
MR29:3853
Zentralblatt MATH:
0119.10004
[3] A. Brndsted and R. T. Rockafellar, On the subdifferentiability of convex functions, Bull. Amer. Math. Soc. 16 (1965), 605-611.
Mathematical Reviews (MathSciNet):
MR31:2361
Zentralblatt MATH:
0141.11801
[4] W. Fenchel, On conjugate convex functions,Canad. J. Math. 1 (1949), 73-77.
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MR10:435b
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0038.20902
[5] R. I. Kachurovskii, On monotone operators and convex functionals,Uspekhi 15, No. 4 (1960), 213-215 (Russian).
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MR29:5125a
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0123.10601
[7] G. J. Mnty, Monotone {nonlinear) operators in Hilbert space, Duke Math. J. 29 (1962), 341-346.
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MR29:6319
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[8] G. J. Mnty, Fonctionelles sous-differentiables, C. R. Acad. Sci. 257 (Dec, 1963), 4117- 4119.
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MR28:1476
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0137.31401
[9] G. J. Mnty, Sur lafonction polaire d'une fonction continue superieurment, C. R. Acad. Sci. 258 (Jan., 1964).
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[10] G. J. Mnty, Semi-continuitedu sous-gradient d'une fonctonelle, C. R. Acad. Sci. 26O (1965), 1067-1070.
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MR30:4143
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0136.12102
[12] R. T. Rockafellar, Convex Functions and Dual ExtremumProblems, doctoral dis- sertation (multilith, Harvard, 1963).
[13] R. T. Rockafellar, Level sets and continuityof conjugate convex functions,to
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[14] R. T. Rockafellar, Extension of Fenches duality theorem for convex functions, Duke Math. J. 33 (1966), 81-90.
Mathematical Reviews (MathSciNet):
MR32:4517
Zentralblatt MATH:
0138.09301
Pacific Journal of Mathematics
