A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities

By Jingjing Fan, Liya Liu, Xiaolong Qin. Optimization, 2020

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ABSTRACT In this paper, we introduce a new algorithm by incorporating inertial terms in a subgradient extragradient algorithm for solving variational inequality problems involving strongly pseudomonotone and Lipschitz continuous operators in Hilbert spaces. The strong convergence of the algorithm is obtained under mild assumptions. We also provide some numerical examples to illustrate that the acceleration of our algorithm is effective.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/12df0fdee3105b6f8d2dd5e798faf01238a323c3