Iterative algorithms approach to a general system of nonlinear variational inequalities with perturbed mappings and fixed point problems for nonexpansive semigroups
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Author list: Sunthrayuth P., Kumam P.
Publisher: SpringerOpen
Publication year: 2012
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2012
ISSN: 1025-5834
eISSN: 1029-242X
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce new iterative algorithms for finding a common element of the set of solutions of a general system of nonlinear variational inequalities with perturbed mappings and the set of common fixed points of a one-parameter nonexpansive semigroup in Banach spaces. Furthermore, we prove the strong convergence theorems of the sequence generated by these iterative algorithms under some suitable conditions. The results obtained in this paper extend the recent ones announced by many others. ฉ 2012 Sunthrayuth and Kumam; licensee Springer.
Keywords
Banach space, Common fixed points, Iterative algorithm, One-parameter nonexpansive semigroup, Perturbed mapping, Strong convergence, Variational inequality
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