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http://dx.doi.org/10.7858/eamj.2010.26.1.081

CONVERGENCE THEOREMS OF MULTI-STEP ITERATIVE SCHEMES WITH ERRORS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE NONSELF MAPPINGS  

Kim, Jong-Kyu (DEPARTMENT MATHEMATICS EDUCATION KYUNGNAM UNIVERSITY)
Saluja, G.S. (DEPARTMENT OF MATHEMATICS & INFORMATION TECHNOLOGY)
Nashine, H.K. (DEPARTMENT OF MATHEMATICS DISHA INSTITUTE OF MANAGEMENT AND TECHNOLOGY)
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Abstract
In this paper, a strong convergence theorem of multi-step iterative schemes with errors for asymptotically quasi-nonexpansive type nonself mappings is established in a real uniformly convex Banach space. Our results extend the corresponding results of Wangkeeree [12], Xu and Noor [13], Kim et al.[1,6,7] and many others.
Keywords
Asymptotically quasi-nonexpansive type nonself mappings; fixed point; multi-step iteration scheme with errors; real uniformly convex Banach space;
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