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Commun. Korean Math. Soc. 2012; 27(1): 167-174
Printed March 1, 2012
https://doi.org/10.4134/CKMS.2012.27.1.167
Copyright © The Korean Mathematical Society.
A new approximation scheme for fixed points of asymptotically $\phi$-hemicontractive mappings
Seung Hyun Kim and Byung Soo Lee
Kyungsung University, Kyungsung University
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
MSC numbers: 47H09, 47H10, 47J25
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