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Book Review
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Book Information
Author(s):
C. Castaing and M. Valadier
Title:
Convex analysis and measurable multifunctions
Additional book information:
Lecture Notes in Math., no. 580, Springer-Verlag, Berlin, Heidelberg, New York, 1977, vii + 278 pp., $11.00
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- 2.
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- 3.
- R. Aumann, Markets with a continuum of traders, Econometrica 32 (1964), 39-50. MR 172689
- 4.
- C. Berge, Espaces topologiques et fonctions multivoques, Dunod, Paris, 1959. MR 105663
- 5.
- H. Brezis, Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland, 1973. MR 348562
- 6.
- F. Clarke, Generalized gradients and applications Trans. Amer. Math. Soc. 205 (1975), 247-262. MR 367131
- 7.
- F. Clarke, A new approach to Lagrange multipliers, Math of Operations Research 1 (1976), 165-175. MR 414104
- 8.
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- 9.
- I. Ekeland, Topologie différentielle et theorie des jeux, Topology 13 (1974), 375-388. MR 356899
- 10.
- I. Ekeland and R. Temam, Convex analysis and variational problems, North-Holland-Elsevier, 1976. MR 463994
- 11.
- A. Fillipov, On certain questions in the theory of optimal control, Vestnik Moskov Univ. Ser. Mat. Mek. Astr. Fiz. Him. 2 (1959), 25-32; English translation, Siam J. Control 1 (1962), 76-84. MR 122650
- 12.
- A. Fillipov, On the existence of solutions of differential equations with multivalued right-hand side, Mat. Zametki 10 (1971), 307-313.
- 13.
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- 14.
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- 15.
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- 16.
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- 17.
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- 18.
- J. Lindenstrauss, A short proof of Liapounoff's convexity theorem, J. Math. Mech 15 (1966), 971-972. MR 207941
- 19.
- E. Michael, Continuous selections. I, Ann. of Math. 63 (1956), 361-382. MR 77107
- 20.
- E. Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152-182. MR 42109
- 21.
- J. von Neumann, On rings of operators reduction theory, Ann. of Math. 50 (1949), 401-485. MR 29101
- 22.
- R. T. Rockafellar, Convex analysis, Princeton Univ. Press, Princeton, N. J., 1970. MR 1451876
- 23.
- R. Starr, Quasi equilibria in markets with nonconvex preferences, Econometrica 37 (1967), 25-36.
- 24.
- D. Wagner, Survey of measurable selection theorems, Siam J. Control and Optimization 15 (1977), 859-903. MR 486391
- 25.
- R. T. Rockafellar, Measurable dependence of convex sets and functions on parameters, J. Math. Anal. Appl. 28 (1969), 4-25. MR 247019
Additional Information:
Reviewer(s):
I.
Ekeland
Review Information:
Journal:
Bull. Amer. Math. Soc.
84
(1978),
950-956.
DOI:
10.1090/S0002-9904-1978-14543-1
PII:
S 0002-9904(1978)14543-1
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