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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.15597 |
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| _version_ | 1866917601159938048 |
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| author | Alizadeh, Mohammad Hossein Zanjani, Alireza Youhannaee |
| author_facet | Alizadeh, Mohammad Hossein Zanjani, Alireza Youhannaee |
| contents | We introduce and study the notion of (e,y)-conjugate for a proper and e-convex function in locally convex spaces, which is an extension of the concept of the conjugate. The mutual relationships between the concepts of (e,y)-conjugacy and e-subdifferential are presented. Moreover, some applications of these notions in optimization are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15597 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized convex functions and their applications in optimality conditions Alizadeh, Mohammad Hossein Zanjani, Alireza Youhannaee Functional Analysis 47H05 F.2.2 We introduce and study the notion of (e,y)-conjugate for a proper and e-convex function in locally convex spaces, which is an extension of the concept of the conjugate. The mutual relationships between the concepts of (e,y)-conjugacy and e-subdifferential are presented. Moreover, some applications of these notions in optimization are established. |
| title | Generalized convex functions and their applications in optimality conditions |
| topic | Functional Analysis 47H05 F.2.2 |
| url | https://arxiv.org/abs/2402.15597 |