Geodesic
Proximal Point Algorithm for a Countable Family of Weighted Resolvent Averages
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 75 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this paper, we introduce a composite iterative algorithm for finding a common zero point of a countable family of weighted resolvent average of finite family of monotone operators in Hilbert spaces. We prove that the sequence generated by the iterative algorithm converges strongly to a common zero point. Finally, we apply our results to split common zero point problem.
Classification : 47H05 49J40
Keywords: Weighted resolvent average, proximal point algorithm, projection algorithm, strongly monotone operator 
@article{KJM_2019_43_1_a6,
     author = {Malihe Bagheri and Mehdi Roohi},
     title = {Proximal {Point} {Algorithm} for a {Countable} {Family} of {Weighted} {Resolvent} {Averages}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {75 },
     year = {2019},
     volume = {43},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a6/}
}
TY  - JOUR
AU  - Malihe Bagheri
AU  - Mehdi Roohi
TI  - Proximal Point Algorithm for a Countable Family of Weighted Resolvent Averages
JO  - Kragujevac Journal of Mathematics
PY  - 2019
SP  - 75 
VL  - 43
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a6/
LA  - en
ID  - KJM_2019_43_1_a6
ER  - 
%0 Journal Article
%A Malihe Bagheri
%A Mehdi Roohi
%T Proximal Point Algorithm for a Countable Family of Weighted Resolvent Averages
%J Kragujevac Journal of Mathematics
%D 2019
%P 75 
%V 43
%N 1
%U http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a6/
%G en
%F KJM_2019_43_1_a6
Malihe Bagheri; Mehdi Roohi. Proximal Point Algorithm for a Countable Family of Weighted Resolvent Averages. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 75 . http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a6/