- Title
- Optimality conditions in nonconvex optimization via weak subdifferentials
- Creator
- Kasimbeyli, Refail; Mammadov, Musa
- Date
- 2011
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/37032
- Identifier
- vital:3897
- Identifier
- ISSN:0362-546X
- Abstract
- In this paper we study optimality conditions for optimization problems described by a special class of directionally differentiable functions. The well-known necessary and sufficient optimality condition of nonsmooth convex optimization, given in the form of variational inequality, is generalized to the nonconvex case by using the notion of weak subdifferentials. The equivalent formulation of this condition in terms of weak subdifferentials and augmented normal cones is also presented. © 2011 Elsevier Ltd. All rights reserved.
- Relation
- Nonlinear Analysis, Theory, Methods and Applications Vol. 74, no. 7 (2011), p. 2534-2547
- Rights
- Copyright Eslevier
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Augmented normal cone; Directional derivative; Nonconvex analysis; Optimality condition; Variational inequalities; Weak subdifferential; Nonconvex; Normal cones; Subdifferentials; Convex optimization; Variational techniques; Optimization
- Full Text
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