Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3235

 Title: Second-order subdifferentials of C^1,1 functions and optimality conditions Authors: Georgiev, Pando Gr.Zlateva, Nadia P. Keywords: Department of Operations Research Issue Date: Oct-1993 Publisher: Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences Citation: Preprint Series/Report no.: 1993;14 Abstract: We present second-order subdifferentials of Clarke’s type of C^1,1 functions, defined in separable Banach spaces with separable duals, i.e. of functions whose gradient mapping is locally Lipschitz. 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. Description: [Georgiev Pando Gr.; Георгиев Пандо Гр.]; [Zlateva Nadia P.; Златева Надя П.] URI: http://hdl.handle.net/10525/3235 Appears in Collections: Preprints

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