Viscosity-type inertial iterative methods for variational inclusion and fixed point problems

Autor: Mohammad Dilshad, Fahad Maqbul Alamrani, Ahmed Alamer, Esmail Alshaban, Maryam G. Alshehri
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 7, Pp 18553-18573 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024903?viewType=HTML
Popis: In this paper, we have introduced some viscosity-type inertial iterative methods for solving fixed point and variational inclusion problems in Hilbert spaces. Our methods calculated the viscosity approximation, fixed point iteration, and inertial extrapolation jointly in the starting of every iteration. Assuming some suitable assumptions, we demonstrated the strong convergence theorems without computing the resolvent of the associated monotone operators. We used some numerical examples to illustrate the efficiency of our iterative approaches and compared them with the related work.
Databáze: Directory of Open Access Journals