Geodesic
On strong convergence theorems for a viscosity-type extragradient method
Filomat, Tome 35 (2021) no. 3, p. 1033

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we introduce a general viscosity-type extragradient method for solving the fixed point problem of an asymptotically nonexpansive mapping and the variational inclusion problem with two accretive operators. We obtain a strong convergence theorem in the setting of Banach spaces. In terms of this theorem, we establish the strong convergence result for solving the fixed point problem (FPP) of an asymptotically nonexpansive mapping and the variational inequality problem (VIP) for an inverse-strongly monotone mapping in the framework of Hilbert spaces. Finally, this result is applied to deal with the VIP and FPP in an illustrating example
DOI : 10.2298/FIL2103033C
Classification : 47H05, 47H09
Keywords: Viscosity-type extragradient method, Variational inclusion, Asymptotically nonexpansive mapping, Fixed point, Strong convergence 
L C Ceng; C S Fong. On strong convergence theorems for a viscosity-type extragradient method. Filomat, Tome 35 (2021) no. 3, p. 1033 . doi: 10.2298/FIL2103033C
@article{10_2298_FIL2103033C,
     author = {L C Ceng and C S Fong},
     title = {On strong convergence theorems for a viscosity-type extragradient method},
     journal = {Filomat},
     pages = {1033 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103033C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103033C/}
}
TY  - JOUR
AU  - L C Ceng
AU  - C S Fong
TI  - On strong convergence theorems for a viscosity-type extragradient method
JO  - Filomat
PY  - 2021
SP  - 1033 
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2103033C/
DO  - 10.2298/FIL2103033C
LA  - en
ID  - 10_2298_FIL2103033C
ER  - 
%0 Journal Article
%A L C Ceng
%A C S Fong
%T On strong convergence theorems for a viscosity-type extragradient method
%J Filomat
%D 2021
%P 1033 
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2103033C/
%R 10.2298/FIL2103033C
%G en
%F 10_2298_FIL2103033C

Cité par Sources :