Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2014), Article ID 813701, 8 pages.
The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping
We modify the three-step iterative schemes to prove the strong convergence theorems by using the hybrid projection methods for finding a common element of the set of solutions of fixed points for a pseudocontractive mapping and a nonexpansive semigroup mapping and the set of solutions of a variational inequality problem for a monotone mapping in a Hilbert space under some appropriate control conditions. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 813701, 8 pages.
First available in Project Euclid: 6 October 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Katchang, Phayap; Plubtieng, Somyot. The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 813701, 8 pages. doi:10.1155/2014/813701. https://projecteuclid.org/euclid.aaa/1412606569