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 satisfied any pseudomonotonicity. The iterative sequences generated by algorithms under the main assumption $S_{M} \neq \emptyset$ 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.
Acknowledgments
A part of this article was written while the third author was visiting Vietnam Institute for Advanced Study in Mathematics (VIASM). He would like to thank the institute for warm hospitality and partial support.
Citation
Bien Thanh Tuyen. Hy Duc Manh. Bui Van Dinh. "Inertial Algorithms for Solving Nonmonotone Variational Inequality Problems." Taiwanese J. Math. 28 (2) 397 - 421, April, 2024. https://doi.org/10.11650/tjm/231202
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