On relaxed inertial projection and contraction algorithms for solving monotone inclusion problems

• Published in: Advances in computational mathematics Vol. 50; no. 4
• Main Authors: Tan, Bing, Qin, Xiaolong
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.08.2024; Springer Nature B.V
• Subjects: Algorithms; Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Convergence; Hilbert space; Mathematical and Computational Biology; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Visualization; Monotone inclusion; 65K15; 47J20; 49J40; 90C33; 68W10; Convergence rate; Inclusion problem; Forward-backward method; Projection and contraction method

We present three novel algorithms based on the forward-backward splitting technique for the solution of monotone inclusion problems in real Hilbert spaces. The proposed algorithms work adaptively in the absence of the Lipschitz constant of the single-valued operator involved thanks to the fact that...