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Van Nam Tran, Yekini Shehu, Renqi Xu, Phan Tu Vuong, An inertial forward-backward-forward algorithm for solving non-convex mixed variational inequalities

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DOI: 10.23952/jano.5.2023.3.04
Volume 5, Issue 3, 1 December 2023, Pages 335-348

 

Abstract. In this paper, we introduce a forward-backward-forward splitting algorithm with double inertial effects to approximate a solution of a non-convex mixed variational inequality problem. Our algorithm does not involve an on-line rule and one of the inertial factors is chosen to be non-positive. We give global convergence results of the iterative sequence generated by our algorithm. Some known results are recovered as special cases of our results. Numerical test is given to support the theoretical findings.

 

How to Cite this Article:
V.N. Tran, Y. Shehu, R. Xu, P.T. Vuong, An inertial forward-backward-forward algorithm for solving non-convex mixed variational inequalities, J. Appl. Numer. Optim. 5 (2023), 335-348.