Strong Convergence Theorems of the General Iterative Methods for Nonexpansive Semigroups in Banach Spaces

Rattanaporn Wangkeeree

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-21

Abstract:

Let be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from to . Let be a nonexpansive semigroup on such that , and is a contraction on with coefficient . Let be -strongly accretive and -strictly pseudocontractive with and a positive real number such that . When the sequences of real numbers and satisfy some appropriate conditions, the three iterative processes given as follows: , , , , and , converge strongly to , where is the unique solution in of the variational inequality , . Our results extend and improve corresponding ones of Li et al. (2009) Chen and He (2007), and many others.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:643740

DOI: 10.1155/2011/643740

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