A Pre-Conditioning CQ Algorithm with Double Inertia and Self-Updated Stepsizes for Split Feasibility Problems in Hilbert Spaces
Abstract
In this work, we propose a double inertial pre-conditioning CQ Algorithm for split feasibility problem in real Hilbert spaces, in which, we use the double inertial steps and new stepsizes to speed up the convergent rate. We also compute the only one projection onto the nonempty closed convex set C in our proposed method. These help improve the numerical results. Next, we establish the weak convergence of the sequence generated by our method. Finally, we use a numerical experiment to demonstrate our theoretical results.
Fields of Study & Subjects
Optimization and Variational Analysis
Advanced Optimization Algorithms Research
Adaptive Dynamic Programming Control
Publication details
- Journal / source
- Symmetry
- Publisher
- MDPI AG
- Volume
- 18
- Issue
- 2
- Pages
- 321–321
- Publication date
- 10 February 2026
- Language
- EN