Bulletin of the American Mathematical Society

MathSciNet review: 1567643
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Jean-Pierre Aubin and Ivar Ekeland
Title: Applied nonlinear analysis
Additional book information: John Wiley and Sons, New York, Chichester, Brisbane, Toronto, and Singapore, xi + 518 pp., $52.50. ISBN 0-471-05998-6.

Ivar Ekeland and Roger Temam, Analyse convexe et problèmes variationnels, Collection Études Mathématiques, Dunod, Paris; Gauthier-Villars, Paris-Brussels-Montreal, Que., 1974 (French). MR 0463993

2.

E. Goursat, Cours d'analyse mathématique, Tome III, 5th ed., Gauthiers-Villars, Paris, 1942.

A. D. Ioffe, Nonsmooth analysis: differential calculus of nondifferentiable mappings, Trans. Amer. Math. Soc. 266 (1981), no. 1, 1–56. MR 613784, DOI 10.1090/S0002-9947-1981-0613784-7

A. Ja. Kruger and B. Š. Morduhovič, Extremal points and the Euler equation in nonsmooth optimization problems, Dokl. Akad. Nauk BSSR 24 (1980), no. 8, 684–687, 763 (Russian, with English summary). MR 587714

B. Sh. Mordukhovich, Nonsmooth analysis with nonconvex generalized differentials and conjugate mappings, Dokl. Akad. Nauk BSSR 28 (1984), no. 11, 976–979 (Russian, with English summary). MR 771737

J. Warga, Fat homeomorphisms and unbounded derivate containers, J. Math. Anal. Appl. 81 (1981), no. 2, 545–560. MR 622836, DOI 10.1016/0022-247X(81)90081-0

J. Warga, Optimization and controllability without differentiability assumptions, SIAM J. Control Optim. 21 (1983), no. 6, 837–855. MR 719516, DOI 10.1137/0321051

J. Warga, Homeomorphisms and local $C^1$ approximations, Nonlinear Anal. 12 (1988), no. 6, 593–597. MR 945667, DOI 10.1016/0362-546X(88)90017-X

1.

I. Ekeland and R. Temam, Analyse convexe et problèmes variationnels, Gauthier-Villars, Paris, 1974. MR 0463993

2.

E. Goursat, Cours d'analyse mathématique, Tome III, 5th ed., Gauthiers-Villars, Paris, 1942.

3.

A. D. Ioffe, Nonsmooth analysis: Differential calculus of non-differentiable mappings, Trans. Amer. Math. Soc. 266 (1981), 1-56. MR 613784

4.

A. Ya. Kruger and B. Sh. Mordukhovič, Extreme points and Euler equations in nondifferentiable optimization problems, Dokl. Akad. Nauk BSSR 24 (1980), 684-687. MR 587714

5.

B. Sh. Mordukhovič, Nonsmooth analysis with nonconvex generalized differentials and dual maps, Dokl. Akad. Nauk BSSR 28 (1984), 976-979. MR 771737

6.

J. Warga, Fat homeomorphisms and unbounded derivate containers, J. Math. Anal. Appl. 81 (1981), 545-560; ibid., 90 (1982), 582-583. MR 622836

7.

J. Warga, Optimization and controllability without differentiability assumptions, SIAM J. Control Optim. 21 (1983), 837-855. MR 719516

8.

J. Warga, Homeomorphisms and local C, Nonlinear Anal. (to appear). MR 945667