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A hierarchical variational inequality problem for generalized demimetric mappings with applications

. In this paper, we study a hierarchical variational inequality problem for two ﬁnite families of generalized demimetric mappings. We present a new and efﬁcient iterative method for solving this problem and establish its strong convergence. As applications, we use our algorithm to solve the generalized multiple-set split feasibility problem, the triple hierarchical variational inequality problem, and the triple-hierarchical constrained optimization problem.