- Title
- Optimality conditions in DC-constrained mathematical programming problems
- Creator
- Correa, Rafael; Lopez, Marco; Pérez-Aros, Pedro
- Date
- 2023
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/195080
- Identifier
- vital:18465
- Identifier
-
https://doi.org/10.1007/s10957-023-02260-x
- Identifier
- ISSN:0022-3239 (ISSN)
- Abstract
- This paper provides necessary and sufficient optimality conditions for abstract-constrained mathematical programming problems in locally convex spaces under new qualification conditions. Our approach exploits the geometrical properties of certain mappings, in particular their structure as difference of convex functions, and uses techniques of generalized differentiation (subdifferential and coderivative). It turns out that these tools can be used fruitfully out of the scope of Asplund spaces. Applications to infinite, stochastic and semi-definite programming are developed in separate sections. © 2023, The Author(s).
- Publisher
- Springer
- Relation
- Journal of Optimization Theory and Applications Vol. 198, no. 3 (2023), p. 1191-1225; http://purl.org/au-research/grants/arc/DP180100602
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- http://creativecommons.org/licenses/by/4.0/
- Rights
- Copyright © 2023, The Author(s)
- Rights
- Open Access
- Subject
- 4901 Applied mathematics; Conic programming; DC functions; DC-constrained programming; Infinite programming; Semi-definite programming; Stochastic programming; Supremum function
- Full Text
- Reviewed
- Funder
- The first author was partially supported by ANID Grant Fondecyt Regular 1190110 and Centro de Modelamiento Matemático (CMM), ACE210010 and FB210005, BASAL funds for centers of excellence from ANID-Chile. The second author has been partially supported by Grants MTM2014-59179-C2-(1-2)-P from MINECO/MICINN, Spain, and FEDER, European Union, and by the Australian Research Council, Project DP180100602. The third author was partially supported by ANID Grants Fondecyt Regular 1190110 and Fondecyt Regular 1200283 and Centro de Modelamiento Matemático (CMM), ACE210010 and FB210005, BASAL funds for centers of excellence from ANID-Chile.
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