A general iterative method for split common fixed point problem and variational inclusion problem

The purpose of this paper is to study variational inequality problem over the solution set of multiple-set split monotone variational inclusion problem. We propose an iterative algorithm with inertial method for finding an approximate solution of this problem in real Hilbert spaces. Strong convergence of the sequence of iterates generated from the proposed method is obtained under some mild assumptions. The iterative scheme does not require prior knowledge of operator norm. Also we present some applications of our main result to solve the bilevel programming problem, the bilevel monotone variational inequalities, the split minimization problem, the multiple-set split feasibility problem and the multiple set split variational inequality problem.

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A general iterative method for split common fixed point problem and variational inclusion problem

Cited by 3 publications

References 24 publications

Two strong convergence subgradient extragradient methods for solving variational inequalities in Hilbert spaces

Two strong convergence subgradient extragradient methods for solving variational inequalities in Hilbert spaces

Hierarchical variational inequality problem and split common fixed point of averaged operators

Variational inequality problem over the solution set of split monotone variational inclusion problem with application to bilevel programming problem

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