Convergence Theorems for Variational Inequalities on the Solution Set of Ky Fan Inequalities

Based on the subgradient methods and fixed point techniques, we develop a new iteration method for solving variational inequalities on the solution set of Ky Fan inequalities. The convergence for the proposed algorithms to the solution is guaranteed under certain assumptions in the Euclidean space R...

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Bibliographic Details
Published in:Acta mathematica vietnamica 2017-12, Vol.42 (4), p.761-773
Main Authors: Anh, Pham Ngoc, Anh, Tran T. H., Kuno, Takahito
Format: Article
Language:English
Subjects:
Acquisitions & mergers
Convergence
Euclidean geometry
Euclidean space
Inequalities
Mathematics
Mathematics and Statistics
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Summary:Based on the subgradient methods and fixed point techniques, we develop a new iteration method for solving variational inequalities on the solution set of Ky Fan inequalities. The convergence for the proposed algorithms to the solution is guaranteed under certain assumptions in the Euclidean space R n .
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-017-0226-z