Zobraziť v EDS

Generalized viscosity type inertial algorithm with applications to minimization problems.

Uložené v:
Podrobná bibliografia
Názov: Generalized viscosity type inertial algorithm with applications to minimization problems.
Autori: Singh, Watanjeet1 (AUTHOR) watanjeetsingh@gmail.com, Chandok, Sumit1 (AUTHOR) sumit.chandok@thapar.edu
Zdroj: Mathematical Foundations of Computing. Dec2025, Vol. 8 Issue 6, p1-17. 17p.
Predmety: *VARIATIONAL inequalities (Mathematics), *LIPSCHITZ continuity, *SUBGRADIENT methods, *MATHEMATICAL optimization, *MONOTONIC functions, *VISCOSITY solutions, *NONEXPANSIVE mappings, *CONVEX programming
Abstrakt: This paper aims to generalize the viscosity-type inertial subgradient extragradient method for finding a common element of the set of solutions to the variational inequality problem for a $ L $-Lipschitz continuous, monotone mapping and fixed points of a demicontractive mapping. Our results extend and improve some of the related results in the literature. We also establish an error bound for the monotone variational inequality satisfying $ L $-Lipschitz continuity. The numerical behavior of the proposed iterative algorithm is discussed along with applications to the convex minimization problem and signal recovery problem. [ABSTRACT FROM AUTHOR]
Databáza: Academic Search Index
Popis
Abstrakt:This paper aims to generalize the viscosity-type inertial subgradient extragradient method for finding a common element of the set of solutions to the variational inequality problem for a $ L $-Lipschitz continuous, monotone mapping and fixed points of a demicontractive mapping. Our results extend and improve some of the related results in the literature. We also establish an error bound for the monotone variational inequality satisfying $ L $-Lipschitz continuity. The numerical behavior of the proposed iterative algorithm is discussed along with applications to the convex minimization problem and signal recovery problem. [ABSTRACT FROM AUTHOR]
ISSN:25778838
DOI:10.3934/mfc.2024044