Block Iterative Methods for a Finite Family of Generalized Nonexpansive Mappings in Banach Spaces
From MaRDI portal
Publication:3506288
DOI10.1080/01630560802000835zbMath1146.47039OpenAlexW2137140471MaRDI QIDQ3506288
Takahashi, Wataru, Takanori Ibaraki
Publication date: 12 June 2008
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630560802000835
Banach spaceimage recoveryfeasibility problemgeneralized nonexpansive mappingblock iterative methodsunny generalized nonexpansive retract
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Approximation by positive operators (41A36)
Related Items
On the fixed-point set of a family of relatively nonexpansive and generalized nonexpansive mappings ⋮ A generalized block-iterative projection method for the common fixed point problem induced by cutters
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Relaxed outer projections, weighted averages and convex feasibility
- On spherical convergence, convexity, and block iterative projection algorithms in Hilbert space
- Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces
- Limit theorems of operators by convex combinations of nonexpansive retractions in Banach spaces
- Image recovery by convex combinations of projections
- Block-iterative projection methods for parallel computation of solutions to convex feasibility problems
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- A new projection and convergence theorems for the projections in Banach spaces
- On the behavior of a block-iterative projection method for solving convex feasibility problems
- Inequalities in Banach spaces with applications
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- On uniformly convex functions
- Convergence theorems for nonexpansive mappings and feasibility problems