The split feasibility problem with multiple output sets in Hilbert spaces

DOI10.1007/s11590-020-01555-6zbMath1460.90201OpenAlexW3008115076MaRDI QIDQ2228405

Simeon Reich, Minh Tuyen Truong, Thi Ngoc Ha Mai

Publication date: 17 February 2021

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-020-01555-6

zbMATH Keywords

nonexpansive mappingHilbert spacemetric projectionsplit feasibility problem

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

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Cites Work

• Cyclic algorithms for split feasibility problems in Hilbert spaces
• Averaged mappings and the gradient-projection algorithm
• Algorithms for the split variational inequality problem
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• A multiprojection algorithm using Bregman projections in a product space
• A strong convergence theorem for solving the split feasibility and fixed point problems in Banach spaces
• A strong convergence theorem for the split common null point problem in Banach spaces
• The split common null point problem in Banach spaces
• A shrinking projection method for solving the split common null point problem in Banach spaces
• Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
• Strong convergence of an iterative method for nonexpansive and accretive operators
• The split common null point problem and the shrinking projection method in Banach 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
• The split common fixed-point problem for demicontractive mappings
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Iterative oblique projection onto convex sets and the split feasibility problem
• The Split Common Null Point Problem
• The relaxed CQ algorithm solving the split feasibility problem
• Iterative methods for solving the generalized split common null point problem in Hilbert spaces
• SHRINKING PROJECTION ALGORITHMS FOR THE SPLIT COMMON NULL POINT PROBLEM
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• An Iteration Formula for Fredholm Integral Equations of the First Kind
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