Nonlinear iteration method for proximal split feasibility problems

DOI10.1002/mma.4644zbMath1435.47062OpenAlexW2765382541MaRDI QIDQ4603009

Yekini Shehu, Olaniyi Samuel Iyiola

Publication date: 8 February 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4644

zbMATH Keywords

strong convergenceHilbert spacesMoreau-Yosida approximateproximal split feasibility problems

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (10)

On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems ⋮ New inertial method for generalized split variational inclusion problems ⋮ A general alternative regularization method with line search technique for solving split equilibrium and fixed point problems in Hilbert spaces ⋮ Accelerated hybrid viscosity and steepest-descent method for proximal split feasibility problems ⋮ General splitting methods with linearization for the split feasibility problem ⋮ Parallel proximal method of solving split system of fixed point set constraint minimization problems ⋮ Viscosity self-adaptive method for generalized split system of variational inclusion problem ⋮ Proximal method of solving split system of minimization problem ⋮ The iterative method for solving the proximal split feasibility problem with an application to LASSO problem ⋮ The strong convergence of Douglas-Rachford methods for the split feasibility problem

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