Regularization extragradient method for Lipschitz continuous mappings and inverse strongly-monotone mappings in Hilbert spaces |
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| Authors: | Nguyen Buong |
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| Institution: | (1) Vietnamese Academy of Science and Technology Institute of Information Technology, 18 Hoang Quoc Viet, q. Cau Giay, Hanoi, Vietnam |
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| Abstract: | The purpose of this paper is to present a regularization variant of the extragradient method for finding a common element
of the solution sets for a variational inequality problem involving a  -Lipschitz continuous monotone mapping A and for a finite family of λ
i
-inverse strongly-monotone operators {A
i
}
i = 1
N
from a closed convex subset K into the Hilbert space H.
This article was submitted by the author in English. |
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| Keywords: | Tikhonov regularization hemicontinuous lower semicontinuous convex functional fixed points extragradient method |
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