- Title
- Sigma supporting cone and optimality conditions in non-convex problems
- Creator
- Hassani, Sara; Mammadov, Musa
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/76323
- Identifier
- vital:7533
- Identifier
- http://www.scopus.com/inward/record.url?eid=2-s2.0-84911435293&partnerID=40&md5=0ca6dfd2787a35849a828b807633d41a
- Identifier
- ISSN:0972-0871
- Abstract
- In this paper, a new supporting function for characterizing non-convex sets is introduced. The notions of σ-supporting cone and maximal conic gap are proposed and some properties are investigated. By applying these new notions, we establish the optimality conditions considered in [7] for a broader class of finite dimensional normed spaces in terms of weak subdifferentials.
- Publisher
- Pushpa Publishing House
- Relation
- Far East Journal of Mathematical Sciences Vol. 91, no. 2 (2014), p. 169-190
- Rights
- Copyright Pushpa Publishing House
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; 0102 Applied Mathematics; Non-convex analysis; Nonconvex sets; Optimality conditions; Supporting cone
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