A Successive Projection Algorithm for Solving the Multiple-Sets Split Feasibility Problem

DOI10.1080/01630563.2014.895755zbMath1327.90316OpenAlexW2062326912MaRDI QIDQ2929511

Binghua Liu, Na Zheng, Biao Qu

Publication date: 12 November 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.895755

zbMATH Keywords

convergencesuccessive projection algorithmmultiple-sets split feasibility problem

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10)

Related Items (14)

A linearly convergent algorithm for sparse signal reconstruction ⋮ An iterative method for solving the multiple-sets split variational inequality problem ⋮ A Self-Adaptive Step Size Algorithm for Solving Variational Inequalities with the Split Feasibility Problem with Multiple Output Sets Constraints ⋮ High-order sum-of-squares structured tensors: theory and applications ⋮ A parallel method for variational inequalities with the multiple-sets split feasibility problem constraints ⋮ A new iterative method for solving the multiple-set split variational inequality problem in Hilbert spaces ⋮ HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS ⋮ The conjugate gradient viscosity approximation algorithm for split generalized equilibrium and variational inequality problems ⋮ Analysis on Newton projection method for the split feasibility problem ⋮ Mixed simultaneous iterative algorithms for the extended multiple-set split equality common fixed-point problem with Lipschitz quasi-pseudocontractive operators ⋮ A strong convergence theorem for an iterative method for solving the split variational inequalities in Hilbert spaces ⋮ An alternating iteration algorithm for solving the split equality fixed point problem with L-Lipschitz and quasi-pseudo-contractive mappings ⋮ A parallel algorithm for generalized multiple-set split feasibility with application to optimal control problems ⋮ An accelerated augmented Lagrangian method for multi-criteria optimization problem

Cites Work

• Applications of fixed-point and optimization methods to the multiple-set split feasibility problem
• Self-adaptive projection methods for the multiple-sets split feasibility problem
• The multiple-sets split feasibility problem and its applications for inverse problems
• A self-adaptive projection method for solving the multiple-sets split feasibility problem
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• On Projection Algorithms for Solving Convex Feasibility Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems

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