Inertial Algorithms for Solving Nonmonotone Variational Inequality Problems
Bien Thanh Tuyen, Hy Duc Manh and Bui Van Dinh*
Abstract. In this paper, we will construct an inertial algorithm without using the embedded projection method to find a solution of variational inequality problems in which the cost mapping is not required to be atisfied any pseudomonotonicity. The iterative sequences generated by algorithms under the main assumption SM ̸= ∅ are proved that they converge to a solution of the corresponding problems. In addition,numerical experiments are provided to show the effectiveness of the algorithm. (https://viasm.edu.vn/Cms_Data/Contents/viasm/Media/congbo/B-V-Dinh-Inertial-Algorithms-for-Solving-Nonmonotone-Variational-Inequality-Problems.pdf)

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