Inertial accelerated algorithms for solving split feasibility with multiple output sets in Hilbert spaces
- Resource Type
- research-article
- Authors
- Okeke, Chibueze C.; Jolaoso, Lateef O.; Shehu, Yekini
- Source
- International Journal of Nonlinear Sciences and Numerical Simulation. 24(2):769-790
- Subject
- Hilbert space
inertial technique
metric projection
split feasibility problem
47H09
47H10
49J20
49J40
- Language
- English
- ISSN
- 2191-0294
In this paper, we propose two inertial accelerated algorithms which do not require prior knowledge of operator norm for solving split feasibility problem with multiple output sets in real Hilbert spaces. We prove weak and strong convergence results for approximating the solution of the considered problem under certain mild conditions. We also give some numerical examples to demonstrate the performance and efficiency of our proposed algorithms over some existing related algorithms in the literature.