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

✍ Scribed by Georgiev, Pando Gr. ;Zlateva, Nadia P.

• Book ID: 104770597
• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 796 KB
• Volume: 4
• Category: Article
• ISSN: 0927-6947
• DOI: 10.1007/bf00425960

✦ Synopsis

We present second-order subdifferentials of Clarke's type of C"' functions, defined in Banach spaces with separable duals. One of them is an extension of the generalized Hessian matrix of such functions in R", 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 CL" data are obtained.

Mathematics Subject Classifications (1991). 49552, 49K30.