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Second-order subdifferentials of C 1,1 functions and optimality conditions (1996)

Georgiev, Pando Gr. ; Zlateva, Nadia P.

Springer

Set-valued analysis 4 (1996), S. 101-117

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ISSN: 1572-932X

Keywords: 49J52 ; 49K30 ; second-order subdifferentials ; Clarke's subdifferential ; twice strict differentiability ; sufficient optimality conditions ; necessary optimality conditions

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract We present second-order subdifferentials of Clarke's type of C 1,1 functions, defined in Banach spaces with separable duals. One of them is an extension of the generalized Hessian matrix of such functions in ℝ n , considered by J. B. H.-Urruty, J. J. Strodiot and V. H. Nguyen. Various properties of these subdifferentials are proved. Second-order optimality conditions (necessary, sufficient) for constrained minimization problems with C 1,1 data are obtained.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00425960

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