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Weak Convergence Theorem by an Extragradient Method for Nonexpansive Mappings and Monotone Mappings.
- Source :
- Journal of Optimization Theory & Applications; Jan2006, Vol. 128 Issue 1, p191-201, 11p
- Publication Year :
- 2006
-
Abstract
- In this paper, we introduce an iterative process for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for a monotone, Lipschitz-continuous mapping. The iterative process is based on the so-called extragradient method. We obtain a weak convergence theorem for two sequences generated by this process. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 128
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 20330330
- Full Text :
- https://doi.org/10.1007/s10957-005-7564-z