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Weak and strong convergence theorems for generalized nonexpansive mappings

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 نشر من قبل \\.Ibrahim Karahan
 تاريخ النشر 2014
  مجال البحث
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We consider a class of generalized nonexpansive mappings introduced by Karapinar [5] and seen as a generalization of Suzuki (C)-condition. We prove some weak and strong convergence theorems for approximating fixed points of such mappings under suitable conditions in uniformly convex Banach spaces. Our results generalize those of Khan and Suzuki [4] to the case of this kind of mappings and, in turn, are related to a famous convergence theorem of Reich [2] on nonexpansive mappings.



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