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Regularization extragradient method for Lipschitz continuous mappings and inverse strongly-monotone mappings in Hilbert spaces

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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 \( \tilde k \)-Lipschitz continuous monotone mapping A and for a finite family of λ i -inverse strongly-monotone operators {A i } N i = 1 from a closed convex subset K into the Hilbert space H.

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Authors and Affiliations

  1. Vietnamese Academy of Science and Technology Institute of Information Technology, 18 Hoang Quoc Viet, q. Cau Giay, Hanoi, Vietnam

    Nguyen Buong

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  1. Nguyen Buong
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Correspondence to Nguyen Buong.

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This article was submitted by the author in English.

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Buong, N. Regularization extragradient method for Lipschitz continuous mappings and inverse strongly-monotone mappings in Hilbert spaces. Comput. Math. and Math. Phys. 48, 1927–1935 (2008). https://doi.org/10.1134/S096554250811002X

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  • DOI: https://doi.org/10.1134/S096554250811002X

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