On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings

被引：0
作者：
Xiaolong Qin
ShinMin Kang
RaviP Agarwal
机构：
[1] North China University of Water Resources and Electric Power,School of Mathematics and Information Sciences
[2] Gyeongsang National University,Department of Mathematics and the RINS
[3] Florida Institute of Technology,Department of Mathematical Sciences
[4] King Fahd University of Petroleum and Minerals,Mathematics and Statistics Department
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Banach Space; Nonexpansive Mapping; Real Banach Space; Nondecreasing Function; Convex Banach Space;
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摘要：
The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu's explicit iterative processes and Sun's implicit iterative processes as special cases for a finite family of generalized asymptotically quasi-nonexpansive mappings. Strong convergence of the purposed iterative process is obtained in the framework of real Banach spaces.
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