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Iterative algorithms approach to a general system of nonlinear variational inequalities with perturbed mappings and fixed point problems for nonexpansive semigroups.
- Source :
-
Journal of Inequalities & Applications . 2012, Vol. 2012 Issue 1, p1-23. 23p. - Publication Year :
- 2012
-
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. Mathematics Subject Classification (2010): 47H09, 47J05, 47J25, 49J40, 65J15 [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2012
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 78322136
- Full Text :
- https://doi.org/10.1186/1029-242X-2012-133