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Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications.
- Source :
-
Numerical Functional Analysis & Optimization . 2023, Vol. 44 Issue 13, p1343-1370. 28p. - Publication Year :
- 2023
-
Abstract
- In this paper, two viscosity proximal type algorithms involving the superiorization method are presented for solving the split variational inclusion problems in real Hilbert spaces. Strong convergence theorems and bounded perturbation resilience analysis of the proposed algorithms are obtained under mild conditions. The split feasibility problems, the split minimization problems, and the variational inequality problems are concerned as the applications, and several numerical experiments are performed to show the efficiency and implementation of the proposed algorithms. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGORITHMS
*HILBERT space
*VARIATIONAL inequalities (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 01630563
- Volume :
- 44
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- Numerical Functional Analysis & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 172995191
- Full Text :
- https://doi.org/10.1080/01630563.2023.2247615