Hybrid method for designing explicit hierarchical fixed point approach to monotone variational inequalities (Q1936077)
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scientific article; zbMATH DE number 6137981
| Language | Label | Description | Also known as |
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| English | Hybrid method for designing explicit hierarchical fixed point approach to monotone variational inequalities |
scientific article; zbMATH DE number 6137981 |
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Hybrid method for designing explicit hierarchical fixed point approach to monotone variational inequalities (English)
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21 February 2013
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In this paper, some hierarchical monotone variational inequality problems in real Hilbert spaces are studied. An explicit algorithm is given, by combining hybrid steepest-descent method, viscosity method and projection method. Quotation from authors' abstract: ``Strong convergence of the algorithm is proved under very mild conditions. Applications in hierarchical minimization problems are also included.''
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monotone variational inequalities
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nonexpansive mapping
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iterative algorithm
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hierarchical fixed point
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hierarchical minimization
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projection
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