On subdifferentials via a generalized conjugation scheme: an application to DC problems and optimality conditions
This paper studies properties of a subdifferential defined using a generalized conjugation scheme. We relate this subdifferential together with the domain of an appropriate conjugate function and the ε-directional derivative. In addition, we also present necessary conditions for ε-optimality and glo...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2022 |
| Country: | España |
| Institution: | Universidad de Alcalá (UAH) |
| Repository: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Language: | English |
| OAI Identifier: | oai:ebuah.uah.es:10017/68296 |
| Online Access: | http://hdl.handle.net/10017/68296 https://dx.doi.org/10.1007/s11228-022-00644-1 |
| Access Level: | Open access |
| Keyword: | Evenly convex function Generalized convex conjugation and subdifferentiability DC problems Optimality conditions Locally convex space Matemáticas Mathematics |
| Summary: | This paper studies properties of a subdifferential defined using a generalized conjugation scheme. We relate this subdifferential together with the domain of an appropriate conjugate function and the ε-directional derivative. In addition, we also present necessary conditions for ε-optimality and global optimality in optimization problems involving the difference of two convex functions. These conditions will be written via this generalized notion of subdifferential studied in the first sections of the paper. |
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