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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| Vydáno v: | Positivity : an international journal devoted to the theory and applications of positivity in analysis Ročník 29; číslo 5; s. 56 |
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| Jazyk: | angličtina |
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Springer Nature B.V
01.11.2025
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| ISSN: | 1385-1292, 1572-9281 |
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| Abstract | 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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| AbstractList | 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. |
| ArticleNumber | 56 |
| Author | Zanjani, Alireza Youhannaee Alizadeh, Mohammad Hossein |
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| Cites_doi | 10.1006/jmaa.2001.7832 10.1007/s10107-007-0120-x 10.1080/02331930600816395 10.1023/A:1008233531797 10.1007/s11590-018-1326-y 10.1007/s11590-020-01682-0 10.1007/s10957-025-02808-z 10.1080/02331934.2023.2187666 10.1007/978-94-015-9920-7 10.1007/978-3-642-45610-7_3 10.1007/3-540-31246-3 10.1080/01630563.2023.2172034 |
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| References | 1146_CR8 1146_CR9 R Phelps (1146_CR14) 1993 MH Alizadeh (1146_CR2) 2021; 15 D Pallaschke (1146_CR16) 2002 1146_CR5 1146_CR3 MH Alizadeh (1146_CR4) 2024; 73 J-P Penot (1146_CR15) 1998; 12 MH Alizadeh (1146_CR1) 2020; 14 BS Mordukhovich (1146_CR10) 2006 JM Borwein (1146_CR6) 2005 BS Mordukhovich (1146_CR12) 2006; 55 BS Mordukhovich (1146_CR11) 2006 FH Clarke (1146_CR7) 1983 BS Mordukhovich (1146_CR13) 2009; 116 |
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| Title | Fréchet $$\sigma $$-subdifferential calculus rules and applications |
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