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http://dx.doi.org/10.4134/CKMS.2012.27.1.167

A NEW APPROXIMATION SCHEME FOR FIXED POINTSOF ASYMPTOTICALLY ø-HEMICONTRACTIVE MAPPINGS  

Kim, Seung-Hyun (Department of Mathematics Kyungsung University)
Lee, Byung-Soo (Department of Mathematics Kyungsung University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.1, 2012 , pp. 167-174 More about this Journal
Abstract
In this paper, we introduce an asymptotically $\phi$-hemicontractive mapping with a $\phi$-normalized duality mapping and obtain some strongly convergent result of a kind of multi-step iteration schemes for asymptotically $\phi$-hemicontractive mappings.
Keywords
$\phi$-nonexpansive mappings; $\phi$-uniformly L-Lipschitzian mappings; asymptotically $\phi$-nonexpansive mappings; asymptotically $\phi$-pseudocontractive mappings; asymptotically $\phi$-hemicontractive mappings; Banach spaces;
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