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Split hierarchical variational inequality problems and related problems. (English) Zbl 1325.47109

In this paper, by combining a split fixed point problem and a hierarchical variational inequality problem, a split-type problem is introduced. The authors present an iterative procedure for finding a solution of the proposed problem and show that, under some suitable assumptions, the sequence generated by their algorithm converges weakly to a solution of the considered problem. Finally, some related problems are investigated, where one can apply the considered problem.

MSC:

47J20 Variational and other types of inequalities involving nonlinear operators (general)
47J25 Iterative procedures involving nonlinear operators
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