Strong convergence of alternating projections
DOI10.1007/s10957-022-02028-9OpenAlexW4224278025MaRDI QIDQ2671450
José Márcio Machado de Brito, Ítalo Dowell Lira Melo, João Xavier da Cruz Neto
Publication date: 3 June 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-022-02028-9
strong convergenceHadamard spacealternating projectionsconvex feasibility problemBernoulli measurequasi-normal sequence
Measure-preserving transformations (28D05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Equations and inequalities involving nonlinear operators (47Jxx)
Cites Work
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- Chebyshev sets in geodesic spaces
- Subgradient method for convex feasibility on Riemannian manifolds
- Alternating projections in CAT(0) spaces
- The asymptotic behavior of the composition of firmly nonexpansive mappings
- Method of successive projections for finding a common point of sets in metric spaces
- On the metric projection onto convex sets in riemannian spaces
- Equilibrium maps between metric spaces
- Projection and proximal point methods: Convergence results and counterexamples.
- Random products of contractions in metric and Banach spaces
- An alternating projection that does not converge in norm
- Subgradient projection algorithms for convex feasibility on Riemannian manifolds with lower bounded curvatures
- Backward-backward splitting in Hadamard spaces
- The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
- Strange products of projections
- Spokes, mirrors and alternating projections
- Computing Medians and Means in Hadamard Spaces
- On a convergence principle in the Hilbert space
- Foundations of Ergodic Theory
- Linear Convergence of Subgradient Algorithm for Convex Feasibility on Riemannian Manifolds
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- Relaxation methods for problems with strictly convex separable costs and linear constraints
- Cyclic subgradient projections
- On the Convergence of the Products of Firmly Nonexpansive Mappings
- Proximal Point Algorithm On Riemannian Manifolds
- On Projection Algorithms for Solving Convex Feasibility Problems
- Strong convergence of infinite products of orthogonal projections in hilbert space
- On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
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