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http://bura.brunel.ac.uk/handle/2438/30878| Title: | Solution Existence and Compactness Analysis for Nonsmooth Optimization Problems |
| Authors: | Hung, NC Chuong, TD Anh, NLH |
| Keywords: | solution existence;limiting subdifferential;nonsmooth optimization;coercivity;compactness |
| Issue Date: | 3-Mar-2025 |
| Publisher: | Springer Nature |
| Citation: | Hung, N.C., Chuong, T.D. and Anh, N.L.H. (2025) 'Solution Existence and Compactness Analysis for Nonsmooth Optimization Problems', Journal of Optimization Theory and Applications, 205 (1), 18, pp. 1 - 25. doi: 10.1007/s10957-025-02637-0. |
| Abstract: | This paper is concerned with the analysis of geometrical properties and behaviors of the optimal value and global optimal solutions for a class of nonsmooth optimization problems. We provide conditions under which the solution set of a nonsmooth and nonconvex optimization problem is non-empty and/or compact. We also examine related properties such as the compactness of the sublevel sets, the boundedness from below and the coercivity of the objective function to characterize the non-emptiness and the compactness of the solution set of the underlying optimization problem under the unboundedness of its associated feasible set. |
| URI: | https://bura.brunel.ac.uk/handle/2438/30878 |
| DOI: | https://doi.org/10.1007/s10957-025-02637-0 |
| ISSN: | 0022-3239 |
| Other Identifiers: | ORCiD: Thai Doan Chuong https://orcid.org/0000-0003-0893-5604 Article no. 18 |
| Appears in Collections: | Dept of Mathematics Research Papers |
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