Some convergence theorems of implicit iterative process for nonexpansive mappings in Banach spaces
نویسنده
چکیده
The purpose of this paper is to study the convergence problem of implicit iteration process for a finite family of nonexpansive mappings in Banach spaces. The results presented in this paper not only generalize some recent results but also give an affirmative answer to the open question suggested by Xu and Ori [11].
منابع مشابه
Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
In this paper, we prove that an implicit iterative process with er-rors converges strongly to a common xed point for a nite family of generalizedasymptotically quasi-nonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the correspond-ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.
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تاریخ انتشار 2002