On the unrestricted iteration of projections in Hilbert space

DOI10.1016/0022-247X(91)90385-DzbMath0731.65041OpenAlexW2072344117MaRDI QIDQ808180

Simeon Reich, John M. Dye

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90385-d

zbMATH Keywords

Hilbert spacealternating projectionunrestricted iteration of projections

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) General theory of numerical analysis in abstract spaces (65J05) Linear programming (90C05) Biomedical imaging and signal processing (92C55) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of functional analysis to differential and integral equations (46N20) Applications of functional analysis in numerical analysis (46N40)

Related Items

A product of three projections ⋮ A convergence result on random products of mappings in metric trees ⋮ Monotone curves ⋮ Applications of fixed-point and optimization methods to the multiple-set split feasibility problem ⋮ Angle criteria for uniform convergence of averaged projections and cyclic or random products of projections ⋮ Projection and proximal point methods: Convergence results and counterexamples. ⋮ A cyclic iterative method for solving a class of variational inequalities in Hilbert spaces ⋮ Do projections stay close together? ⋮ On spherical convergence, convexity, and block iterative projection algorithms in Hilbert space

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