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http://dx.doi.org/10.7858/eamj.2012.047

ON ITERATIVE APPROXIMATION OF COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS WITH APPLICATIONS  

Kim, Jong Kyu (Department of Mathematics Education, Kyungnam University)
Qin, Xiaolong (School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power)
Lim, Won Hee (Department of Mathematics, Kyungnam University)
Publication Information
East Asian mathematical journal / v.28, no.5, 2012 , pp. 617-630 More about this Journal
Abstract
In this paper, the problem of iterative approximation of common fixed points of asymptotically nonexpansive is investigated in the framework of Banach spaces. Weak convergence theorems are established. A necessary and sufficient condition for strong convergence is also discussed. As an application of main results, a variational inequality is investigated.
Keywords
asymptotically nonexpansive mapping; fixed point; iterative process; nonexpansive mapping; variational inequality;
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Times Cited By KSCI : 1  (Citation Analysis)
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