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http://dx.doi.org/10.4134/CKMS.2014.29.1.083

CONVERGENCE OF MODIFIED MULTI-STEP ITERATIVE FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS  

Xiao, Juan (School of Mathematics and Statistics Southwest University)
Deng, Lei (School of Mathematics and Statistics Southwest University)
Yang, Ming-Ge (College of Mathematics Science Luoyang Normal University)
Publication Information
Communications of the Korean Mathematical Society / v.29, no.1, 2014 , pp. 83-95 More about this Journal
Abstract
In a uniformly convex Banach space, we introduce a iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings and utilize a new inequality to prove several convergence results for the iterative sequence. The results generalize and unify many important known results of relevant scholars.
Keywords
uniformly convex Banach space; fixed point; asymptotically nonexpansive mapping; asymptotically quasi-nonexpansive mapping;
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