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On a general projection algorithm for variational inequalities involving relaxed Lipschitz and relaxed monotone mappings - MaRDI portal

On a general projection algorithm for variational inequalities involving relaxed Lipschitz and relaxed monotone mappings (Q701379)

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scientific article; zbMATH DE number 1819995
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On a general projection algorithm for variational inequalities involving relaxed Lipschitz and relaxed monotone mappings
scientific article; zbMATH DE number 1819995

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    On a general projection algorithm for variational inequalities involving relaxed Lipschitz and relaxed monotone mappings (English)
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    27 January 2003
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    Summary: We consider a generalized nonlinear quasi-variational inequality problem for set-valued mappings and construct an iterative algorithm to find the approximate solution of this problem by exploiting the projection method and prove the existence of the solution to our problem involving relaxed Lipschitz and relaxed monotone mappings and the convergence of the iterative sequences generated by this algorithm.
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    generalized nonlinear quasi-variational inequalities
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    set-valued mappings
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    iterative algorithm
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    projection method
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    relaxed Lipschitz and relaxed monotone mappings
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    convergence
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