Twice Epi-Differentiability of Extended-Real-Valued Functions with Applications in Composite Optimization | PERPUSTAKAAN UNIVERSITAS KATOLIK PARAHYANGAN

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Twice Epi-Differentiability of Extended-Real-Valued Functions with Applications in Composite Optimization

Mohammadi, Ashkan - Nama Orang; Sarabi, M. Ebrahim - Nama Orang;

The paper is devoted to the study of the twice epi-differentiablity of extended-real-valued functions, with an emphasis on functions satisfying a certain composite representation. This will be conducted under parabolic regularity, a second-order regularity condition that was recently utilized in [A. Mohammadi, B. Mordukhovich, and M. E. Sarabi, Parabolic Regularity via Geometric Variational Analysis, preprint, ŭlhttps://arxiv.org/abs/1909.00241, 2019] for second-order variational analysis of constraint systems. Besides justifying the twice epi-differentiablity of composite functions, we obtain precise formulas for their second subderivatives under the metric subregularity constraint qualification. The latter allows us to derive second-order optimality conditions for a large class of composite optimization problems.

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Barcode		Tipe Koleksi	Nomor Panggil	Lokasi	Status
art135920	null	Artikel		Gdg9-Lt3	Tersedia namun tidak untuk dipinjamkan - No Loan

Informasi Detail

Judul Seri: SIAM JOURNAL ON OPTIMIZATION; Vol.30 No.3 July-September 2020
No. Panggil: -
Penerbit: : .,
Deskripsi Fisik: p. 2379 - 2409
Bahasa: English
ISBN/ISSN: -
Klasifikasi: -
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: -
Subjek: VARIATIONAL ANALYSIS
SECOND-ORDER OPTIMALITY CONDITIONS
COMPOSITE OPTIMIZATION
TWICE EPI-DIFFERENTIABILITY
REGULARITY, PARABOLIC
Info Detail Spesifik: -
Pernyataan Tanggungjawab: Ashkan Mohammadi, M. Ebrahim Sarabi

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