Variational inequalities;
projection methods;
local convergence;
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摘要:
In this paper, we use a unified approach to analyze the local convergence behavior of a wide class of projection-type methods for solving variational inequality problems. Under certain conditions, it is shown that, in a finite number of iterations, either the sequence of iterates terminates at a solution of the concerned problem or all iterates enter and remain in the relative interior of the optimal face and, hence, the subproblem reduces to a simpler form.
机构:
Univ Newcastle, Prior Res Ctr Comp Assisted Res Math & Its Applic, Callaghan, NSW 2308, AustraliaUniv Newcastle, Prior Res Ctr Comp Assisted Res Math & Its Applic, Callaghan, NSW 2308, Australia
Dao, Minh N.
Phan, Hung M.
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机构:
Univ Massachusetts, Kennedy Coll Sci, Dept Math Sci, Lowell, MA 01854 USAUniv Newcastle, Prior Res Ctr Comp Assisted Res Math & Its Applic, Callaghan, NSW 2308, Australia
机构:
Osaka Univ, Project Res Ctr Fundamental Sci, Grad Sch Sci, Toyonaka, Osaka 5600043, JapanOsaka Univ, Project Res Ctr Fundamental Sci, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan
Aoki, J.
Toyoda, M.
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机构:
Osaka Univ, Project Res Ctr Fundamental Sci, Grad Sch Sci, Toyonaka, Osaka 5600043, JapanOsaka Univ, Project Res Ctr Fundamental Sci, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan