Clarke’s Tangent cones, subgradients, optimality conditions, and the Lipschitzness at infinity
We first study Clarke's tangent cones at infinity to unbounded subsets of \BbbR n. We prove that these cones are closed convex and show a characterization of their interiors. We then study subgradients at infinity for extended real value functions on \BbbR n and derive necessary optimality c...
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| Những tác giả chính: | , |
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| Định dạng: | Journal article |
| Ngôn ngữ: | English |
| Được phát hành: |
2024
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/handle/123456789/3629 https://epubs.siam.org/doi/abs/10.1137/23M1545367 |
| Các nhãn: |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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| Tóm tắt: | We first study Clarke's tangent cones at infinity to unbounded subsets of \BbbR n. We
prove that these cones are closed convex and show a characterization of their interiors. We then
study subgradients at infinity for extended real value functions on \BbbR n and derive necessary optimality
conditions at infinity for optimization problems. We also give a number of rules for the computing
of subgradients at infinity and provide some characterizations of the Lipschitz continuity at infinity
for lower semicontinuous functions. |
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