arXiv Open Access 2022

Duality for Composite Optimization Problem within the Framework of Abstract Convexity

The Hung Tran Ewa Bednarczuk

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Abstrak

We study conjugate and Lagrange dualities for composite optimization problems within the framework of abstract convexity. We provide conditions for zero duality gap in conjugate duality. For Lagrange duality, intersection property is applied to obtain zero duality gap. Connection between Lagrange dual and conjugate dual is also established. Examples related to convex and weakly convex functions are given.

Topik & Kata Kunci

math.OC

Penulis (2)

The Hung Tran

Ewa Bednarczuk

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APA MLA BibTeX

Tran, T.H., Bednarczuk, E. (2022). Duality for Composite Optimization Problem within the Framework of Abstract Convexity. https://arxiv.org/abs/2209.02177

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓