RELAXED DOUBLE INERTIA AND VISCOSITY ALGORITHMS FOR THE MULTIPLE-SETS SPLIT FEASIBILITY PROBLEM WITH MULTIPLE OUTPUT SETS

Solomon Gebregiorgis; Poom Kumam

doi:10.58715/bangmodjmcs.2024.10.2

RELAXED DOUBLE INERTIA AND VISCOSITY ALGORITHMS FOR THE MULTIPLE-SETS SPLIT FEASIBILITY PROBLEM WITH MULTIPLE OUTPUT SETS

Authors

Solomon Gebregiorgis Department of Mathematics, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, Thailand
Poom Kumam Center of Excellence in Theoretical and Computational Science (TaCS-CoE), SCL 802 Fixed Point Laboratory, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, Thailand

DOI:

https://doi.org/10.58715/bangmodjmcs.2024.10.2

Keywords:

Multiple-sets split feasibility problems with multiple output sets, generalized Fermat-Torricelli problem, relaxed, double inertia, viscosity

Abstract

In this paper, we investigate a multiple-sets split feasibility problem with multiple output sets in infinite-dimensional Hilbert spaces. To address this problem, we propose relaxed inertial self-adaptive algorithms that do not use the least squares method and prove strong convergence results for the sequences generated by these algorithms. Finally, we validate the performances of the proposed algorithms by using numerical examples.

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Published

2024-06-29

How to Cite

Gebregiorgis, S., & Kumam, P. (2024). RELAXED DOUBLE INERTIA AND VISCOSITY ALGORITHMS FOR THE MULTIPLE-SETS SPLIT FEASIBILITY PROBLEM WITH MULTIPLE OUTPUT SETS. Bangmod International Journal of Mathematical and Computational Science, 10, 10–29. https://doi.org/10.58715/bangmodjmcs.2024.10.2