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Finite convergence of extragradient-type methods for solving variational inequalities under weak sharp condition

Trinh Faculty of Fundamental Sciences, Van Lang University, Ho Chi Minh City, Viet Nam|
Phan Tu (55227760100) | Le Van (57344525100); Vuong Faculty of Applied Sciences, HCMC University of Technology and Education, Ho Chi Minh City, Viet Nam| Thanh Quoc (57971930800); Vinh Mathematical Sciences School, University of Southampton, Southampton, SO17 1BJ, United Kingdom|

Computational and Applied Mathematics Số 8, năm 2022 (Tập 41, trang -)

ISSN: 22383603

ISSN: 22383603

DOI: 10.1007/s40314-022-02110-y

Tài liệu thuộc danh mục:

Article

English

Từ khóa: Condition; Extragradient; Finite convergence; Number of iterations; Projection method; Solutions sets; Type methods; Variational inequalities; Weak sharpness; Variational techniques
Tóm tắt tiếng anh
We prove the finite convergence of the sequences generated by some extragradient-type methods solving variational inequalities under the weakly sharp condition of the solution set. In addition, we provide estimations for the number of iterations to guarantee the sequence converges to a point in the solution set and prove that these estimations are optimal. Numerical examples are presented to illustrate the theoretical results. � 2022, The Author(s).

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