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Hybrid inertial contraction algorithms for solving variational inequalities with fixed point constraints in Hilbert spaces
Hybrid inertial contraction algorithms for solving variational inequalities with fixed point constraints in Hilbert spaces
Phạm Ngọc Anh
In this paper, basing on the forward-backward method and inertial techniques, we introduce
a new algorithm for solving a variational inequality problem over the fixed point set of
a nonexpansive mapping. The strong convergence of the algorithm is established under
strongly monotone and Lipschitz continuous assumptions imposed on the cost mapping. As
an application, we also apply and analyze our algorithm to solve a convex minimization
problem of the sum of two convex functions.
Xuất bản trên:
Hybrid inertial contraction algorithms for solving variational inequalities with fixed point constraints in Hilbert spaces
Nhà xuất bản:
Acta Mathematica Vietnamica
Địa điểm:
Từ khoá:
Variational inequality problem · Fixed point constraints · Lipschitz continuous · Strongly monotone · Forward-backward method