Random Products of Contractions in Banach Spaces
From MaRDI portal
Publication:3971323
DOI10.2307/2001660zbMath0735.47001OpenAlexW4249386561MaRDI QIDQ3971323
Mohamed Amine Khamsi, J. Dye, Simeon Reich
Publication date: 25 June 1992
Full work available at URL: https://doi.org/10.2307/2001660
contractioncomputer tomographyapproximation theorylinear inequalitiesalternating projectionsrandom productnumerical solution of PDEcondition (W)weak convergence in smooth reflexive Banach spaces
Biomedical imaging and signal processing (92C55) Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Applications of operator theory in chemistry and life sciences (47N60)
Related Items
An alternating projection that does not converge in norm ⋮ The rate of convergence in the method of alternating projections ⋮ Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey ⋮ String-averaging methods for best approximation to common fixed point sets of operators: the finite and infinite cases ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ Unrestricted iterations of nonexpansive mappings in Hilbert space ⋮ A convergence result on random products of mappings in metric spaces ⋮ A convergence result on random products of mappings in metric trees ⋮ Unrestricted products of contractions in Banach spaces ⋮ Generic convergence of infinite products of positive linear operators ⋮ Slow convergence of sequences of linear operators. II: Arbitrarily slow convergence ⋮ Convergence of unrestricted products of nonexpansive mappings in spaces with the opial property ⋮ Angle criteria for uniform convergence of averaged projections and cyclic or random products of projections ⋮ On uniform opial condition and uniform Kadec-Klee property in Banach and metric spaces ⋮ A cyclic iterative method for solving a class of variational inequalities in Hilbert spaces ⋮ Normal structure and fixed point properties for some Banach algebras ⋮ Unrestricted iterations of nonexpansive mappings in Banach spaces ⋮ The set of divergent infinite products in a Banach space is \(\sigma\)-porous ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups ⋮ Random iterations of holomorphic maps in complex Banach spaces ⋮ On the unrestricted iteration of projections in Hilbert space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generalization of a theorem of Amemiya and Ando on the convergence of random products of contractions in Hilbert space
- Ergodic theorems. With a supplement by Antoine Brunel
- Convergence of random products of compact contractions in Hilbert space
- The angles between the null spaces of X rays
- Product formulas, nonlinear semigroups, and accretive operators
- Asymptotic centers and nonexpansive mappings in conjugate Banach spaces
- A projection method for least-squares solutions to overdetermined systems of linear inequalities
- Random products of contractions in metric and Banach spaces
- Asymptotic behavior of nonexpansive mappings
- Practical and mathematical aspects of the problem of reconstructing objects from radiographs
- A limit theorem for projections
- The Alternating Algorithm in Uniformly Convex Spaces
- Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
