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

DOI: 10.1155/2012/506976

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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 , where is a gauge function on [0,∞). Our results improve and extend those announced by G. Marino and H.-K. Xu (2006) and many authors.

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