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http://hdl.handle.net/10397/107348
Title: | Projectional coderivatives and calculus rules | Authors: | Yao, W Meng, K Li, M Yang, X |
Issue Date: | Dec-2023 | Source: | Set-valued and variational analysis, Dec. 2023, v. 31, no. 4, 36 | Abstract: | This paper is devoted to the study of a newly introduced tool, projectional coderivatives, and the corresponding calculus rules in finite dimensional spaces. We show that when the restricted set has some nice properties, more specifically, it is a smooth manifold, the projectional coderivative can be refined as a fixed-point expression. We will also improve the generalized Mordukhovich criterion to give a complete characterization of the relative Lipschitz-like property under such a setting. Chain rules and sum rules are obtained to facilitate the application of the tool to a wider range of parametric problems. | Keywords: | Calculus rules Generalized Mordukhovich criterion Projectional coderivative Relative Lipschitz-like property |
Publisher: | Springer Dordrecht | Journal: | Set-valued and variational analysis | ISSN: | 1877-0533 | EISSN: | 1877-0541 | DOI: | 10.1007/s11228-023-00698-9 |
Appears in Collections: | Journal/Magazine Article |
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