Variational Analysis

@inproceedings{Rockafellar1998VariationalA,
  title={Variational Analysis},
  author={R. Tyrrell Rockafellar and Roger J.-B. Wets},
  booktitle={Grundlehren der mathematischen Wissenschaften},
  year={1998}
}
  • R. Tyrrell Rockafellar, Roger J.-B. Wets
  • Published in
    Grundlehren der…
    1998
  • Computer Science
  • Errata and Additions: December 2013 p. 10, l. 14 xν → x should be xν → x̄ p. 31, l. 10 argmin f should be argmin f̄ p. 45, Fig.2-7 the x-axis should be just IR not IRn p. 108, l. -6 insert ‘to’ after ‘said’ p. 136, l. -11 Proposition 4.37, replace xinIB by x ∈ IB p. 278, l. 13 replace ‘neq’ by 6= p. 514, l. 19 replace φ(x) by φ(y) p. 644, l. -7 S(B) should be S(B) p. 677, l. -1 replace Sε : T 7→ IR n by Sε : T → IR n p. 678, l. 4 in the expression for Aν replace κ by ν p. 734, l. -2 replace 38… CONTINUE READING

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    Other results of Poliquin and Rockafellar [1996a], [1996b], are seen in 13.45, 13.46 and 13.49, and in the symmetry assertion of 13.51. The formula in 13.50 follows Poliquin and Rockafellar

    • 1993

    Corollary (Lagrange multipliers)

    Corollary (Legendre-Fenchel transform as an isometry)

    Corollary (Lipschitzian properties under addition)

    Corollary (Lipschitzian properties under composition)

    Corollary (Pompeiu-Hausdorff distance as a limit)

    Corollary (Scorza-Dragoni property)

    Corollary (addition of functions)

    Corollary (alternative interpretation of normality)