International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.5, Oct. 2015, Pub. Date: Jul. 10, 2015
An New Iterative Scheme for Variational Inequalities and Nonexpansive Mappings in Hilbert Spaces
Pages: 275-281 Views: 1335 Downloads: 367
Authors
[01] Qiqiong Chen, Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing, Jiangsu, China.
[02] Congjun Zhang, College of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, China.
Abstract
In this paper, a new three-step iterative scheme is introduced for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality for α-inverse-strongly monotone mappings. The result reveals that the proposed iterative sequence converges strongly to the common element of this two. And our studies can be regarded as an extension of the existing results, which we illustrate one by one in our remarks.
Keywords
Variational Inequality, Nonexpansive Mapping, Fixed Point
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