Bulletin of the American Mathematical Society

MathSciNet review: 1567243
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Book Information:

Authors: V. Barbu and Th. Precupanu
Title: Convexity and optimization in Banach spaces
Additional book information: Sÿthoff & Noordhoff International Publishers, Alphen aan den Rijn, The Netherlands, 1978, xi + 316 pp.

Fritz John, Extremum problems with inequalities as subsidiary conditions, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, N. Y., 1948, pp. 187–204. MR 0030135

2.

W. E. Karush, Minima of functions of several variables with inequalities as side conditions, Masters dissertation, University of Chicago, Chicago, December, 1939.

H. W. Kuhn and A. W. Tucker, Nonlinear programming, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley-Los Angeles, Calif., 1951, pp. 481–492. MR 0047303

E. J. McShane, On multipliers for Lagrange problems, Amer. J. Math. 61 (1939), 809–819. MR 462, DOI 10.2307/2371626

Lucien W. Neustadt, Optimization, Princeton University Press, Princeton, N. J., 1976. A theory of necessary conditions; With a chapter by H. T. Banks. MR 0440440

L. S. Pontrjagin, V. G. Boltjanskiĭ, R. V. Gamkrelidze, and E. F. Miščenko, Matematicheskaya teoriya optimal′nykh protsessov, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (Russian). MR 0166036

R. T. Rockafellar, Extension of Fenchel’s duality theorem for convex functions, Duke Math. J. 33 (1966), 81–89. MR 187062

R. Tyrrell Rockafellar, Duality and stability in extremum problems involving convex functions, Pacific J. Math. 21 (1967), 167–187. MR 211759

R. T. Rockafellar, Conjugate convex functions in optimal control and the calculus of variations, J. Math. Anal. Appl. 32 (1970), 174–222. MR 266020, DOI 10.1016/0022-247X(70)90324-0

R. T. Rockafellar, Existence and duality theorems for convex problems of Bolza, Trans. Amer. Math. Soc. 159 (1971), 1–40. MR 282283, DOI 10.1090/S0002-9947-1971-0282283-0

1.

F. John, Extremum problems with inequalities as side conditions, Studies and Essays, Courant Anniversary Volume (K. O. Friedrichs, O. E. Neugebauer, and J. J. Stoker, editors), Wiley, New York, 1948, pp. 187-204. MR 0030135

2.

W. E. Karush, Minima of functions of several variables with inequalities as side conditions, Masters dissertation, University of Chicago, Chicago, December, 1939.

3.

H. W. Kuhn and A. W. Tucker, Nonlinear programming, Proc. Second Berkeley Sympos. on Mathematical Statistics and Probability (J. Neyman, editor), University of California Press, Berkeley, 1951, pp. 481-492. MR 47303

4.

E. J. McShane, On multipliers for Lagrange problems, Amer. J. Math. 61 (1939), 809-819. MR 462

5.

L. W. Neustadt, Optimization, a theory of necessary conditions, Princeton Univ. Press, Princeton, N. J., 1976. MR 440440

6.

L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mishchenko, The mathematical theory of optimal processes (Translated by K. N. Trirogoff, L. W. Neustadt, editor) Wiley, New York, 1962. MR 166037

7.

R. T. Rockafellar, An extension of Fenchel's duality theorem for convex functions, Duke Math. J. 33 (1966), 81-90. MR 187062

8.

R. T. Rockafellar, Duality and stability in extremum problems involving convex functions, Pacific J. Math. 21 (1967), 167-187. MR 211759

9.

R. T. Rockafellar, Conjugate convex functions in optimal control and the calculus of variations, J. Math. Anal. Appl. 32 (1970), 174-222. MR 266020

10.

R. T. Rockafellar, Existence and duality theorems for convex problems of Bolza, Trans. Amer. Math. Soc. 159 (1971), 1-40. MR 282283