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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2406.17273 |
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| _version_ | 1866914848261013504 |
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| author | Abdulaleem, Najeeb |
| author_facet | Abdulaleem, Najeeb |
| contents | In this paper, we introduce a new concept of generalized convexity for E-differentiable vector optimization problems. Namely, the notion of exponentially E-invexity is defined. Further, some properties and results of exponentially E-invex functions are studied. The sufficient optimality conditions are derived under appropriate (generalized) exponentially E-invexity hypotheses. To exemplify the application of our proposed concept, we have included an appropriate example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponentially E-preinvex and E-invex functions in mathematical programming Abdulaleem, Najeeb Optimization and Control In this paper, we introduce a new concept of generalized convexity for E-differentiable vector optimization problems. Namely, the notion of exponentially E-invexity is defined. Further, some properties and results of exponentially E-invex functions are studied. The sufficient optimality conditions are derived under appropriate (generalized) exponentially E-invexity hypotheses. To exemplify the application of our proposed concept, we have included an appropriate example. |
| title | Exponentially E-preinvex and E-invex functions in mathematical programming |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2406.17273 |