DOI: 10.24193/fpt-ro.2020.1.07

Authors: L.C. Ceng, A. Petrușel, X. Qin and J.C. Yao

Abstract: In this paper, we introduce a modified inertial subgradient extragradient method for solving a variational inequality problem with Lipschitz pseudomonotone mapping and a common fixed-point problem of a family of nonexpansive mappings. Under mild conditions, we obtain strong convergence theorems in a real Hilbert space. An application is also provided.

Key Words and Phrases: Inertial subgradient extragradient method, variational inequality, pseudomonotone mapping, nonexpansive mapping, fixed point.

2010 Mathematics Subject Classification: 65K15, 47H05, 47H10.

Published on-line: February 1st, 2020.

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