Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems

• Published in: Optimization Vol. 70; no. 3; pp. 545 - 574
• Main Authors: Alakoya, T. O., Jolaoso, L. O., Mewomo, O. T.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 04.03.2021; Taylor & Francis LLC
• Subjects: Adaptive algorithms; Algorithms; Convergence; Extragradient method; fixed point; Fixed points (mathematics); Half spaces; Hilbert space; inertia; Lipschitz-continuous; Mathematical analysis; monotone; Operators (mathematics); variational inequality

In this paper, we study a classical monotone and Lipschitz continuous variational inequality and fixed point problems defined on a level set of a convex function in the setting of Hilbert space. We propose a modified inertial viscosity subgradient extragradient algorithm with self-adaptive stepsize...