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Bibliografie

Journal Article

On second-order subdifferentials and their applications

Mordukhovich B. S., Outrata Jiří

: SIAM Journal on Optimization vol.12, 1 (2001), p. 139-169

: AV0Z1075907

: variational analysis, Lipschitzian stability in optimization, second-order subdifferentials

(eng): We study second-order subdifferentials of nonsmooth functions that are particularly important for applications to sensitivity analysis in optimization and related problems. First we develop various calculus rules for these subdifferentials in rather general settings. Then we obtain exact formulas for computing the second-order subdifferentials for a class of separable piecewise smooth functions. Functions of this class arise in equilibrium models related to some practical problems of continuum mechanics.

: 12B

: BB

07.01.2019 - 08:39