Convergence;
fixed point;
iterative algorithm;
quasi-contractive mapping;
system of variational inclusions;
CONVERGENCE;
D O I:
10.1080/01630563.2021.1933519
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, a new system of variational inclusions involving set-valued quasi-contractive, lower semi-continuous mappings with nonempty closed and convex values is introduced and studied in real Banach spaces. First, both the existence of fixed points of the set-valued quasi-contractive mappings and the solution of the system of variational inclusions are proved. Then, using the existence result, a new iterative algorithm is constructed. And then the strong convergence of the iterative sequences is proved, and the proof is novel. Finally, a numerical example is given to demonstrate the algorithm. Our results improve and extend some known results.
机构:
Univ Paris Est Marne la Vallee, 5 Bd Descartes, F-77454 Champs Sur Marne 2, Marne La Vallee, FranceUniv Paris Est Marne la Vallee, 5 Bd Descartes, F-77454 Champs Sur Marne 2, Marne La Vallee, France
Chalendar, I.
;
Partington, J. R.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, EnglandUniv Paris Est Marne la Vallee, 5 Bd Descartes, F-77454 Champs Sur Marne 2, Marne La Vallee, France
机构:
Univ Paris Est Marne la Vallee, 5 Bd Descartes, F-77454 Champs Sur Marne 2, Marne La Vallee, FranceUniv Paris Est Marne la Vallee, 5 Bd Descartes, F-77454 Champs Sur Marne 2, Marne La Vallee, France
Chalendar, I.
;
Partington, J. R.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, EnglandUniv Paris Est Marne la Vallee, 5 Bd Descartes, F-77454 Champs Sur Marne 2, Marne La Vallee, France