arXiv Open Access 2024

Proximal Algorithms for a class of abstract convex functions

Ewa Bednarczuk Dirk Lorenz The Hung Tran

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Abstrak

In this paper we analyze a class of nonconvex optimization problem from the viewpoint of abstract convexity. Using the respective generalizations of the subgradient we propose an abstract notion proximal operator and derive a number of algorithms, namely an abstract proximal point method, an abstract forward-backward method and an abstract projected subgradient method. Global convergence results for all algorithms are discussed and numerical examples are given

Topik & Kata Kunci

math.OC

Penulis (3)

Ewa Bednarczuk

Dirk Lorenz

The Hung Tran

Format Sitasi

APA MLA BibTeX

Bednarczuk, E., Lorenz, D., Tran, T.H. (2024). Proximal Algorithms for a class of abstract convex functions. https://arxiv.org/abs/2402.17072

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓