Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634601 | Applied Mathematics and Computation | 2008 | 11 Pages |
Abstract
In this paper, we introduce a new iterative scheme for finding the common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality for α-inverse-strongly monotone mappings. We show that the sequence converges strongly to a common element of the above three sets under some parameters controlling conditions. This main theorem extends a recent result of Yao and Yao [Y. Yao, J.-C. Yao, On modified iterative method for nonexpansive mappings and monotone mappings, Applied Mathematics and Computation 186 (2) (2007) 1551-1558].
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Somyot Plubtieng, Rattanaporn Punpaeng,