A new iterative method for solving a system of generalized mixed equilibrium problems for a countable family of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings (Q1949483)
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scientific article; zbMATH DE number 6161351
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new iterative method for solving a system of generalized mixed equilibrium problems for a countable family of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings |
scientific article; zbMATH DE number 6161351 |
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A new iterative method for solving a system of generalized mixed equilibrium problems for a countable family of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings (English)
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8 May 2013
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Summary: By using a specific way of choosing the indices, we introduce an up-to-date iterative algorithm for approximating common fixed points of a countable family of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings and obtain a strong convergence theorem under some suitable conditions. As application, an iterative solution to a system of generalized mixed equilibrium problems is studied. The results extend those of other authors, in which the involved mappings consist of just finite families.
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iterative algorithm
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common fixed points
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nonexpansive mappings
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convergence
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mixed equilibrium problems
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