Fréchet $$\sigma $$-subdifferential calculus rules and applications

We generalize the sum, difference, product, and chain rules for Fréchet σ-subdifferential. Also, we establish necessary optimality conditions for difference problems in terms of the σ-subdifferential. Our generalizations resemble the results by Mordukhovich, Nam, and Yen (Optimization 55 (2006) 685–...

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis Vol. 29; no. 5; p. 56
Main Authors: Alizadeh, Mohammad Hossein, Zanjani, Alireza Youhannaee
Format: Journal Article
Language:English
Published: Dordrecht Springer Nature B.V 01.11.2025
Subjects:
Banach spaces
Calculus
Mathematical functions
Optimization
ISSN:1385-1292, 1572-9281
Online Access:Get full text
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Summary:We generalize the sum, difference, product, and chain rules for Fréchet σ-subdifferential. Also, we establish necessary optimality conditions for difference problems in terms of the σ-subdifferential. Our generalizations resemble the results by Mordukhovich, Nam, and Yen (Optimization 55 (2006) 685–708) regarding Fréchet σ-subdifferential.
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ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-025-01146-8