Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings

• Published in: Optimization Vol. 70; no. 4; pp. 715 - 740
• Main Authors: Ceng, Lu-Chuan, Shang, Meijuan
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 03.04.2021; Taylor & Francis LLC
• Subjects: Algorithms; Approximation; Asymptotic methods; Asymptotic properties; asymptotically nonexpansive mapping; common fixed point; Fixed points (mathematics); Hilbert space; Hybrid inertial subgradient extragradient method; Mapping; pseudomonotone variational inequality; Search process; sequentially weak continuity

In this paper, we introduce hybrid inertial subgradient extragradient algorithms with line-search process for solving a variational inequality problem (VIP) with pseudomonotone and Lipschitz continuous mapping and a common fixed-point problem (CFPP) of finitely many nonexpansive mappings and an asym...