6 research outputs found

    Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces

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    Abstract The purpose of this paper is to solve the hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth Banach space. We introduce implicit and explicit iterative algorithms which converge strongly to a unique solution of the hierarchical variational inequality problem. Our results improve and extend the corresponding results announced by some authors

    A new proof of Mayer's theorem

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    AbstractThis paper gives a new proof of Mayer's theorem concerning the convergence of powers of an interval matrix
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