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数学学报(中 401331
E-mail: ******@ (S. Hu) ******@(W. Wang) caigang-******@(G. Cai)
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A New Tseng’s Extragradient Algorithm for Solving Pseudomonotone Variational Inequality
Problems in Hilbert Spaces
Shaotao HUa Yuanheng WANGa,∗ Gang CAIb
a College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, Zhejiang, China
b School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
E-mail : ******@ (S. Hu) ******@(W. Wang) caigang-******@(G. Cai)
Abstract In this paper, we introduce a new Tseng’s extragradient algorithm for
solving pseudomonotone variational inequality problems in Hilbert spaces. We prove
that the sequence generated by proposed algorithm converges strongly an element of
solution set for variational inequality problems. The results obtained in this paper
extend and improve many recent ones in the literature.
Keywords Strong convergence; Tseng’s extragradient method; Variational inequali-
ty; Hilbert spaces; Pseudomonotone operator
MR(2010) Subject Classification 47H09; 47H10
Chinese Library Classification
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