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An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications.
- Source :
-
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica . 2015, Vol. 23 Issue 1, p247-266. 20p. - Publication Year :
- 2015
-
Abstract
- In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and the set of solutions of the variational inequality problem for an α-inverse strongly monotone mapping. We prove a strong convergence theorem for the sequences generated by this scheme and give some applications of our convergence theorem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 12241784
- Volume :
- 23
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
- Publication Type :
- Academic Journal
- Accession number :
- 109259658
- Full Text :
- https://doi.org/10.1515/auom-2015-0017