International Journal of Advances in Mathematics
International Journal of Advances in Mathematics
2456-6098
Volume 2017
Number 6
2017
November
01
Approximation of a Common Fixed Point of a Family of GG-Nonexpansive Mappings in Banach Spaces with a Graph
137
152
EN
Tibebu
Worku
Hunde
Department of Mathematics, College of Natural and Computational Sciences, Addis Ababa University,
P.O.Box 31167, Addis Ababa, Ethiopia.
Mengistu
Goa Sangago
Department of Mathematics, College of Natural and Computational Sciences, Addis Ababa University,
P.O.Box 31167, Addis Ababa, Ethiopia.
Habtu
Zegeye
Department of Mathematics, Botswana International University of Science and Technology, Private Bag 00704,
Botswana.
habtuzh@yahoo.com
In this paper, we introduce an explicit iterative scheme for approximating common fixed points for a finite family of GG-nonexpansive mappings in a uniformly convex Banach space with a directed graph. Our results extend and improve the results of [Tripak, O.: Common fixed points of GG-nonexpansive mappings on Banach spaces with a graph, Fixed Point Theory Appl. doi:10.1186/s13663-016-0578-4 (2016)] and other results in the literature.
Mann and Ishikawa iteration scheme, three-step Noor-iteration scheme, Weak and strong convergence, common fixed points, GG-nonexpansive mappings, digraph.
http://adv-math.com/2017/11/01/tibebu-worku-hunde-mengistu-goa-sangago-habtu-zegeye-approximation-common-fixed-point-family-g-nonexpansive-mappings-banach-spaces-graph-volume-2017-number-6-pages-13/
http://adv-math.com/wp-content/uploads/2017/10/FINAL-ADV-201721.pdf