Hybrid proximal-point methods for zeros of maximal monotone operators, variational inequalities and mixed equilibrium problems (Q539343)
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scientific article; zbMATH DE number 5900710
| Language | Label | Description | Also known as |
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| English | Hybrid proximal-point methods for zeros of maximal monotone operators, variational inequalities and mixed equilibrium problems |
scientific article; zbMATH DE number 5900710 |
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Hybrid proximal-point methods for zeros of maximal monotone operators, variational inequalities and mixed equilibrium problems (English)
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27 May 2011
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Summary: We prove strong and weak convergence theorems of modified hybrid proximal-point algorithms for finding a common element of the zero point of a maximal monotone operator, the set of solutions of equilibrium problems, and the set of solution of the variational inequality of an inverse strongly monotone operator in a Banach space under different conditions. Moreover, applications to complementarity problems are given. Our results modify and improve the recently announced ones by Li and Song (2008) and many others.
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strong convergence
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modified hybrid proximal-point algorithms
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maximal monotone operator
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equilibrium problems
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complementarity problems
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