Analysis of Subdifferentials of Marginal and Performance Functions: Analysis of Subdifferentials of Marginal and Performance...: D.T.V. An, J.-P. Penot.

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Title: Analysis of Subdifferentials of Marginal and Performance Functions: Analysis of Subdifferentials of Marginal and Performance...: D.T.V. An, J.-P. Penot.
Authors: An, Duong Thi Viet1 (AUTHOR) andtv@tnus.edu.vn, Penot, Jean-Paul2 (AUTHOR) jean-paul.penot@sorbonne-universite.fr
Source: Applied Mathematics & Optimization. Jun2025, Vol. 91 Issue 3, p1-28. 28p.
Subjects: Subdifferentials
Abstract: We study generalized derivatives of value functions for optimization problems depending on a parameter w. Interpretations of the results obtained with these substitutes to derivatives are known to be important. We endeavour to answer the question: can one obtain these results without knowing the nature of these substitutes and their constructions? Is there a means to obtain them in a unified way? [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:We study generalized derivatives of value functions for optimization problems depending on a parameter w. Interpretations of the results obtained with these substitutes to derivatives are known to be important. We endeavour to answer the question: can one obtain these results without knowing the nature of these substitutes and their constructions? Is there a means to obtain them in a unified way? [ABSTRACT FROM AUTHOR]
ISSN:00954616
DOI:10.1007/s00245-025-10251-9