Strong convergence of a hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems, of quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces (Q1760719)
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scientific article; zbMATH DE number 6106234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence of a hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems, of quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces |
scientific article; zbMATH DE number 6106234 |
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Strong convergence of a hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems, of quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces (English)
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15 November 2012
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Summary: We introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed quasi-\(\phi\)-asymptotically nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the variational inequality problem for a \(\gamma\)-inverse strongly monotone mapping in Banach spaces. Then we study the strong convergence of the algorithm. Our results improve and extend the corresponding results announced by many others.
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common fixed points
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strong convergence
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