Multi-Inertial Techniques for Split Feasibility Problem with Multiple Output Sets
Abstract
This study presents a multi-inertial algorithmic approach designed to address the Split Feasibility Problem (SFP) involving multiple output sets in Hilbert spaces. By leveraging a finite-inertial technique that incorporates data from previous iterates, the method generates momentum to accelerate convergence. We provide a rigorous convergence analysis under standard assumptions. The proposed framework serves as a unifying generalization of several existing algorithms for split feasibility problem, offering significant theoretical extensions.
Fields of Study & Subjects
Optimization and Variational Analysis
Advanced Optimization Algorithms Research
Risk and Portfolio Optimization
Publication details
- Journal / source
- BIMA JOURNAL OF SCIENCE AND TECHNOLOGY GOMBE
- Publisher
- Hevom Partners
- Volume
- 9
- Issue
- 4B
- Pages
- 257–268
- Publication date
- 31 January 2026