Completely generalized set-valued nonlinear implicit quasi-variational inequalities (Q2747434)

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scientific article; zbMATH DE number 1657757
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Completely generalized set-valued nonlinear implicit quasi-variational inequalities
scientific article; zbMATH DE number 1657757

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    31 March 2003
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    variational inequality
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    algorithm
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    relaxed Lipschitz mappings
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    relaxed monotone mappings
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    Completely generalized set-valued nonlinear implicit quasi-variational inequalities (English)
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    In this paper, the author studies a class of completely generalized set-valued nonlinear implicit quasi-variational inequalities in Hilbert spaces. Using the projection method, he constructs an algorithm for solving the implicit quasi-variational inequality mentioned above. Under some conditions, he proves the existence of the solution for the variational inequality and the convergence of the iterative sequence generated by the algorithm.
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