Strong convergence of modified algorithms based on the regularization for the constrained convex minimization problem

DOI10.1155/2014/870102zbMath1473.47043OpenAlexW2072213460WikidataQ59042188 ScholiaQ59042188MaRDI QIDQ1725170

Ming Tian, Jun-Ying Gong

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/870102

zbMATH Keywords

strong convergencesplit feasibility problemregularisation methodimplicit iterative algorithms

Mathematics Subject Classification ID

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

Cites Work

• Relaxed extragradient methods with regularization for general system of variational inequalities with constraints of split feasibility and fixed point problems
• Some iterative methods for finding fixed points and for solving constrained convex minimization problems
• Averaged mappings and the gradient-projection algorithm
• A general iterative algorithm for nonexpansive mappings in Hilbert spaces
• A multiprojection algorithm using Bregman projections in a product space
• Solving generalized mixed equilibria, variational inequalities, and constrained convex minimization
• Convergence of generalized proximal point algorithms
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• The multiple-sets split feasibility problem and its applications for inverse problems
• A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
• Projected gradient methods for linearly constrained problems
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Strong convergence of modified algorithms based on the regularization for the constrained convex minimization problem