On problem of nearest common fixed point of nonexpansive mappings (Q2432589)
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| Language | Label | Description | Also known as |
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| English | On problem of nearest common fixed point of nonexpansive mappings |
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On problem of nearest common fixed point of nonexpansive mappings (English)
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25 October 2006
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\noindent The author uses viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, the author proves that the iterative sequence converges strongly to a common fixed point which is also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.
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infinite sequence of nonexpansive mappings
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viscosity approximation
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common fixed points
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strong convergence
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demi-closedness principle
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weakly sequentially continuous duality map
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normalized duality map
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