Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2012, Special Issue (2012), Article ID 949141, 15 pages.
Iterative Algorithms Approach to Variational Inequalities and Fixed Point Problems
We consider a general variational inequality and fixed point problem, which is to find a point with the property that (GVF): and where is the solution set of some variational inequality is the fixed points set of nonexpansive mapping , and is a nonlinear operator. Assume the solution set of (GVF) is nonempty. For solving (GVF), we suggest the following method , . It is shown that the sequence converges strongly to which is the unique solution of the variational inequality , for all .
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 949141, 15 pages.
First available in Project Euclid: 1 April 2013
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Liou, Yeong-Cheng; Yao, Yonghong; Tseng, Chun-Wei; Lin, Hui-To; Yang, Pei-Xia. Iterative Algorithms Approach to Variational Inequalities and Fixed Point Problems. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 949141, 15 pages. doi:10.1155/2012/949141. https://projecteuclid.org/euclid.aaa/1364845183