A modified inertial subgradient extragradient method for solving pseudomonotone variational inequalities and common fixed point problems

By Lu-Chuan Ceng, Adrian Petrusel, Xiaolong Qin, J. C. Yao. Fixed Point Theory, 2020

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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.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/83d84dc696e520cd43f1222e27c41fba7cf56299