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Title :
Convergence Theorem of Modified Multistep Iterative Scheme for Quasi-Nonexpansive Mapping in Banach Space
Author :
D.P. Shukla, Rahul Dwivedi, Kashi Ram Ahirwar
Journal name :
IJMRS's International Journal of Engineering Sciences, ISSN 2277-9698
Volume :
Volume 01, Issue 02, Jun. 2012
Keywords :
Multistep iterations, Halpern iterations, quasi-nonexpansive mappingMultistep iterations, Halpern iterations, quasi-nonexpansive mapping
Abstract :
Let B be a uniformly convex Banach space, let K be a nonempty closed convex subset of B. The modified multistep interative scheme {xn} is defined by (1.5). We establish the strong convergence for a multistep interation of an quasi- nonexpansive mapping in Banach space. Mathematical Subject Classification: 47H09, 47H10
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