A General Iterative Method for a Nonexpansive Semigroup in Banach Spaces with Gauge Functions

Kamonrat Nammanee, Suthep Suantai and Prasit Cholamjiak

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

Abstract:

We study strong convergence of the sequence generated by implicit and explicit general iterative methods for a one-parameter nonexpansive semigroup in a reflexive Banach space which admits the duality mapping ð ½ ð œ‘ , where 𠜑 is a gauge function on [ 0 , ∞ ) . Our results improve and extend those announced by G. Marino and H.-K. Xu (2006) and many authors.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:506976

DOI: 10.1155/2012/506976

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