A New Forward–Backward Algorithm with Line Searchand Inertial Techniques for Convex Minimization Problems with Applications
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- Dang Hieu, 2018. "An inertial-like proximal algorithm for equilibrium problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(3), pages 399-415, December.
- Regina S. Burachik & Alfredo N. Iusem, 2008. "Set-Valued Mappings and Enlargements of Monotone Operators," Springer Optimization and Its Applications, Springer, number 978-0-387-69757-4, December.
- Regina S. Burachik & Alfredo N. Iusem, 2008. "Enlargements of Monotone Operators," Springer Optimization and Its Applications, in: Set-Valued Mappings and Enlargements of Monotone Operators, chapter 0, pages 161-220, Springer.
- Adisak Hanjing & Suthep Suantai, 2020. "A Fast Image Restoration Algorithm Based on a Fixed Point and Optimization Method," Mathematics, MDPI, vol. 8(3), pages 1-13, March.
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- Chadarat Thongphaen & Warunun Inthakon & Suthep Suantai & Narawadee Phudolsitthiphat, 2022. "Common Attractive Point Results for Two Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces," Mathematics, MDPI, vol. 10(8), pages 1-18, April.
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Keywords
convex minimization problems; machine learning; forward–backward algorithm; line search; accelerated algorithm; data classification; image restoration;All these keywords.
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