A self-adaptive extragradient algorithm for solving quasimonotone variational inequalities (Q2138174)
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| Language | Label | Description | Also known as |
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| English | A self-adaptive extragradient algorithm for solving quasimonotone variational inequalities |
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A self-adaptive extragradient algorithm for solving quasimonotone variational inequalities (English)
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11 May 2022
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Summary: This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive rule and the extragradient algorithm. We demonstrate that the procedure weakly converges to the solution of the investigated quasimonotone variational inequality provided the considered operator satisfies several additional conditions.
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weak convergence
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Hilbert space
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self-adaptive rule
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extragradient algorithm
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quasimonotone variational inequality
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