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

Fixexd point theory and applications

RaviP Agarwal¹  ShinMin Kang²  Xiaolong Qin³ 

[1] Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, USA;Department of Mathematics and the RINS, Gyeongsang National University, Jinju, Republic of Korea;School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, China

关键词: Banach Space;    Nonexpansive Mapping;    Real Banach Space;    Nondecreasing Function;    Convex Banach Space;   

DOI  :  10.1155/2010/714860

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY