Iterative algorithms based on the hybrid steepest descent method for the split feasibility problem

DOI10.22436/JNSA.009.06.63zbMath1350.47047OpenAlexW2790116029MaRDI QIDQ3187093

Jong Soo Jung

Publication date: 15 August 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss6_4214--4225_Iterative_algorithms_based_on_the_h.pdf

zbMATH Keywords

variational inequalitynonexpansive mappingprojectionbounded linear operatorsplit feasibility problem\(\eta\)-strongly monotone operatorminimum-norm\(\rho\)-Lipschitzian

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

Iterative algorithms for the multiple-sets split feasibility problem in Hilbert spaces ⋮ Hybrid iterative algorithms for the split common fixed point problems ⋮ Convergence theorems for the variational inequality problems and split feasibility problems in Hilbert spaces ⋮ Unnamed Item ⋮ Self adaptive inertial extragradient algorithms for solving bilevel pseudomonotone variational inequality problems ⋮ Iterative regularization methods for the multiple-sets split feasibility problem in Hilbert spaces

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