Book Review

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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.

**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**30135****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**

Review Information:

Reviewer: Leonard D. Berkovitz

Journal: Bull. Amer. Math. Soc.

**2**(1980), 479-482

DOI: https://doi.org/10.1090/S0273-0979-1980-14776-X