A modified Halpern iteration in CAT(0) spaces
From MaRDI portal
Publication:2255096
DOI10.1007/s12215-013-0139-1zbMath1305.47044OpenAlexW2041945871MaRDI QIDQ2255096
Publication date: 6 February 2015
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-013-0139-1
Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Monotone inclusion problem and fixed point problem of a generalized demimetric mapping in CAT(0) spaces ⋮ Strong and \(\triangle\)-convergence of Moudafi's iterative algorithm for generalized nonexpansive mappings in convex metric spaces
Cites Work
- Strong convergence of modified Halpern iterations in \(\mathrm{CAT}(0)\) spaces
- Halpern's iteration in Banach spaces
- The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Approximation of fixed points of nonexpansive mappings
- Strong convergence of modified Mann iterations
- Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
- Iterative approximation of fixed points of nonexpansive mappings
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- A note on fixed point sets in CAT(0) spaces
- Iterative Algorithms for Nonlinear Operators
- Some problems and results in fixed point theory
- A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
- Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
- Another control condition in an iterative method for nonexpansive mappings
- Fixed points of nonexpanding maps
- Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item