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http://dx.doi.org/10.7858/eamj.2013.003

CONVERGENCE TO COMMON FIXED POINTS FOR A FINITE FAMILY OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES  

Saluja, G.S. (Department of Mathematics and Information Technology, Govt. Nagarjuna P. G. College of Science)
Publication Information
East Asian mathematical journal / v.29, no.1, 2013 , pp. 23-37 More about this Journal
Abstract
The purpose of this paper is to study an implicit iteration process with errors and establish weak and strong convergence theorems to converge to common fixed points for a finite family of generalized asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. Our results extend, improve and generalize some known results from the existing literature.
Keywords
Generalized asymptotically quasi-nonexpansive mapping; implicit iteration process with errors; common fixed point; strong convergence; weak convergence; uniformly convex Banach space;
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