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Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces.
- Source :
- Journal of Inequalities & Applications; 1/19/2024, Vol. 2024 Issue 1, p1-24, 24p
- Publication Year :
- 2024
-
Abstract
- In this paper, we study the generalized multiple-set split feasibility problem including the common fixed-point problem for a finite family of generalized demimetric mappings and the monotone inclusion problem in 2-uniformly convex and uniformly smooth Banach spaces. We propose an inertial Halpern-type iterative algorithm for obtaining a solution of the problem and derive a strong convergence theorem for the algorithm. Then, we apply our convergence results to the convex minimization problem, the variational inequality problem, the multiple-set split feasibility problem and the split common null-point problem in Banach spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- BANACH spaces
ALGORITHMS
FEASIBILITY studies
NONEXPANSIVE mappings
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2024
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 174919266
- Full Text :
- https://doi.org/10.1186/s13660-024-03082-9