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Hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense.
- Source :
- Journal of Global Optimization; Dec2014, Vol. 60 Issue 4, p617-634, 18p
- Publication Year :
- 2014
-
Abstract
- In this paper we introduce an iterative algorithm for finding a common element of the fixed point set of an asymptotically strict pseudocontractive mapping S in the intermediate sense and the solution set of the minimization problem (MP) for a convex and continuously Frechet differentiable functional in Hilbert space. The iterative algorithm is based on several well-known methods including the extragradient method, CQ method, Mann-type iterative method and hybrid gradient projection algorithm with regularization. We obtain a strong convergence theorem for three sequences generated by our iterative algorithm. In addition, we also prove a new weak convergence theorem by a modified extragradient method with regularization for the MP and the mapping S. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09255001
- Volume :
- 60
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Global Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 99391917
- Full Text :
- https://doi.org/10.1007/s10898-013-0087-5