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Extra-gradient methods for solving split feasibility and fixed point problems.
- Source :
- Fixed Point Theory & Applications; 10/26/2015, Vol. 2015 Issue 1, p1-21, 21p
- Publication Year :
- 2015
-
Abstract
- The purpose of this paper is to study the extra-gradient methods for solving split feasibility and fixed point problems involved in pseudo-contractive mappings in real Hilbert spaces. We propose an Ishikawa-type extra-gradient iterative algorithm for finding a solution of the split feasibility and fixed point problems involved in pseudo-contractive mappings with Lipschitz assumption. Moreover, we also suggest a Mann-type extra-gradient iterative algorithm for finding a solution of the split feasibility and fixed point problems involved in pseudo-contractive mappings without Lipschitz assumption. It is proven that under suitable conditions, the sequences generated by the proposed iterative algorithms converge weakly to a solution of the split feasibility and fixed point problems. The results presented in this paper extend and improve some corresponding ones in the literature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871820
- Volume :
- 2015
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Fixed Point Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 110545323
- Full Text :
- https://doi.org/10.1186/s13663-015-0441-z