Common fixed point theorems for two finite families of generalized asymptotically nonexpansive nonself-maps with the intermediate sense

Wang Yuanhen · Journal of Zhejiang University(Science Edition) · 2014

In an arbitrary real Banach space,a new modified generalized Ishikawa iterative sequence with error is introduced for two finite families of generalized asymptotically nonexpansive nonself-maps with the intermediate sense. By using ingeniously mathematical induction,under suitable conditions,it is proved that the iterative sequence converges strongly to a common fixed point of the two finite families of the maps.The results extend and improve some corresponding related results of other authors.

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