Convergence Theorems of a General Composite Iterative Method for Nonexpansive Semigroups in Banach Spaces
Author(s) -
Pitipong Sunthrayuth,
Kriengsak Wattanawitoon,
Poom Kumam
Publication year - 2011
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.5402/2011/576135
Subject(s) - mathematics , banach space , hilbert space , convergence (economics) , composite number , scheme (mathematics) , pure mathematics , banach manifold , iterative method , discrete mathematics , mathematical analysis , lp space , mathematical optimization , algorithm , economics , economic growth
We introduce a general composite iterative scheme for nonexpansive semigroups in Banach spaces. We establish some strong convergence theorems of the general iteration scheme under different control conditions. The results presented in this paper improve and extend the correspondingresults of Marino and Xu (2006), and others, from Hilbert spaces to Banach spaces.
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