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

Title & Authors
A NEW APPROXIMATION SCHEME FOR FIXED POINTSOF ASYMPTOTICALLY ø-HEMICONTRACTIVE MAPPINGS
Kim, Seung-Hyun; Lee, Byung-Soo;

Abstract
In this paper, we introduce an asymptotically $\small{\phi}$-hemicontractive mapping with a $\small{\phi}$-normalized duality mapping and obtain some strongly convergent result of a kind of multi-step iteration schemes for asymptotically $\small{\phi}$-hemicontractive mappings.
Keywords
$\small{\phi}$-nonexpansive mappings;$\small{\phi}$-uniformly L-Lipschitzian mappings;asymptotically $\small{\phi}$-nonexpansive mappings;asymptotically $\small{\phi}$-pseudocontractive mappings;asymptotically $\small{\phi}$-hemicontractive mappings;Banach spaces;
Language
English
Cited by
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