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Some convergence theorems of non-implicit iteration process with errors for a finite families of I-asymptotically nonexpansive mappings
Authors:Feng Gu
Affiliation:Institute of Applied Mathematics, Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
Abstract:The purpose of this paper is to study the weak and strong convergence of non-implicit iteration process with errors to a common fixed point for a finite family of I-asymptotically quasi-nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of several authors [1], [2], [7], [8], [9], [10], [11], [12], [13], [14], [17], [19], [22], [23], [24], [25], [26], [27], [28] and [29].
Keywords:I-Asymptotically nonexpansive mapping   Asymptotically nonexpansive mapping   Non-implicit iterative sequence with errors for a finite family   Common fixed point   Opial condition   Demi-closed principle   Semi-compactness
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