On the approximation problem of common fixed points for a finite family of non-self asymptotically quasi-nonexpansive-type mappings in Banach spaces (Q2458728)
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| Language | Label | Description | Also known as |
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| English | On the approximation problem of common fixed points for a finite family of non-self asymptotically quasi-nonexpansive-type mappings in Banach spaces |
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On the approximation problem of common fixed points for a finite family of non-self asymptotically quasi-nonexpansive-type mappings in Banach spaces (English)
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2 November 2007
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The paper deals with the problem of finding common fixed points of mappings in Banach spaces under quite general conditions. The concept of non-self asymptotically quasi-nonexpansive-type mappings is introduced and an iterative sequence to converge to a common fixed point for a finite family of non-self asymptotically quasi-nonexpansive-type mappings is constructed. The presented results improve the corresponding results in the literature [see, for example, \textit{Ya.\,I.\,Alber, C.\,E. Chidume} and \textit{H.\,Zegeye}, Fixed Point Theory Appl.\ 2006, Article 10673 (2006; Zbl 1105.47057)].
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non-self asymptotically quasi-nonexpansive-type mapping
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asymptotically nonexpansive mappings
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non-self asymptotically nonexpansive mapping
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iterative sequence with mean errors
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common fixed point
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0.9789529
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0.97835004
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0.9711143
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0.9673135
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0.96331936
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