Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints

• Published in: Optimization Vol. 70; no. 5-6; pp. 1337 - 1358
• Main Authors: Ceng, L. C., Petruşel, A., Qin, X., Yao, J. C.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 03.06.2021; Taylor & Francis LLC
• Subjects: Algorithms; asymptotically nonexpansive operator; fixed point; Fixed points (mathematics); Hilbert space; Search process; Subgradient extragradient approach; variational inequality problem

This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach. Common solution theorems are obtained in Hilbert spaces.