Weak Convergence Theorem of Noor Iterative Scheme for Nonself I-Nonexpansive Mapping

Sukanya Chornphrom, Sirilak Phonin

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Abstract

In this paper, we prove the weak convergence of a modified Noor
iteration for nonself I-nonexpansive mapping in a Banach space which satisfies Opial’s condition. Our result extends and improves these announced by Kumam, Kumethog and Jewwaiworn [Weak convergence theorem of Three-step Noor iteration scheme for I-nonexpansive mappings in Banach spaces, Applied Mathematical Science, Vol.2, 2008, no.59, 2915-2920] from self maps into nonself maps. And Kiziltunc and Ozdemir [On convergence theomrem for Nonself I-nonexpansive mapping in Banach spaces, Applied Mathematical Science, Vol.1, 2007, no.48, 2379-2383].

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Published

2009-12-01

How to Cite

Team, S. (2009). Weak Convergence Theorem of Noor Iterative Scheme for Nonself I-Nonexpansive Mapping: Sukanya Chornphrom, Sirilak Phonin. Thai Journal of Mathematics, 7(2), 311–317. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/163

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