A new approach to the approximation of common fixed points of an infinite family of relatively quasinonexpansive mappings with applications (Q1925365)
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scientific article; zbMATH DE number 6116399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new approach to the approximation of common fixed points of an infinite family of relatively quasinonexpansive mappings with applications |
scientific article; zbMATH DE number 6116399 |
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A new approach to the approximation of common fixed points of an infinite family of relatively quasinonexpansive mappings with applications (English)
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18 December 2012
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Summary: By using a specific way of choosing the indexes, we propose an iteration algorithm generated by the monotone CQ method for approximating common fixed points of an infinite family of relatively quasinonexpansive mappings. A strong convergence theorem without the stronger assumptions of the AKTT condition and the \(^\ast\)AKTT condition imposed on the involved mappings is established in the framework of Banach space. As application, an iterative solution to a system of equilibrium problems is studied. The result is more applicable than those of other authors with related interest.
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iteration algorithm
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monotone CQ method
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common fixed points
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relatively quasinonexpansive mappings
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0.95178235
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0.9468697
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0.94672394
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