New strong convergence theorem of the inertial projection and contraction method for variational inequality problems

Authors: Duong Viet Thong, Nguyễn Thế Vinh, Cho Je Yeol, Dương Viết Thông,

https://doi.org/10.1007/s11075-019-00755-1

Publisher, magazine: ,

Publication year: 2020

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Abstract

In this paper, we introduce a new algorithm which combines the inertial projection and contraction method and the viscosity method for solving monotone variational inequality problems in real Hilbert spaces and prove a strong convergence theorem of our proposed algorithm under the standard assumptions imposed on cost operators. Finally, we give some numerical experiments to illustrate the proposed algorithm.

Tags: Inertial projection and contraction method, Viscosity method, Variational inequality problem, Monotone operator