Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
From MaRDI portal
Publication:383878
DOI10.1186/1687-1812-2012-230zbMathNoneOpenAlexW2156775547WikidataQ59288876 ScholiaQ59288876MaRDI QIDQ383878
Suthep Suantai, Withun Phuengrattana
Publication date: 6 December 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2012-230
fixed pointCAT(0) spacessemitopological semigroupamenable semigroupreversible semigroupgeneralized asymptotically nonexpansive semigroup
Semigroups of nonlinear operators (47H20) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Proximal point algorithms involving fixed points of nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces ⋮ Unnamed Item ⋮ Affine Ricci solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups ⋮ A study on fixed point theorems for a class of generalized nonexpansive mappings in Hadamard spaces ⋮ Iterative approaches for solving equilibrium problems, zero point problems and fixed point problems in Hadamard spaces ⋮ On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces
- Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces
- Asymptotic behavior of almost-orbits of reversible semigroups of Lipschitzian mappings
- Fixed point properties of semigroups of non-expansive mappings
- A concept of convergence in geodesic spaces
- Fixed point properties for semigroup of nonexpansive mappings on Fréchet spaces
- Weak convergence and nonlinear ergodic theorems for reversible semigroup of nonexpansive mappings
- Semigroup of nonexpansive mappings on a Hilbert space
- Asymptotic behavior of almost-orbits of semigroups of Lipschitzian mappings in Banach spaces
- An ergodic theorem for semigroups of nonexpansive mappings in a Hilbert space
- Invariant means and semigroups of nonexpansive mappings on uniformly convex Banach spaces
- Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces
- Nonlinear submeans on semigroups
- Non-linear ergodic theorems in complete non-positive curvature metric spaces
- Fixed points of uniformly Lipschitzian mappings
- Invariant means and fixed point properties of semigroup of nonexpansive mappings
- Common fixed points for commuting contraction mappings
- Reductive groups over a local field
- Invariant submeans and semigroups of nonexpansive mappings on Banach spaces with normal structure
- A Nonlinear Ergodic Theorem for a Reversible Semigroup of Lipschitzian Mappings in a Hilbert Space
- A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
- Remarks on Some Fixed Point Theorems
- Characterizations of Normal Structure
- Fixed point theorem for amenable semigroup of nonexpansive mappings
- Fixed points of reversible semigroups of nonexpansive mappings
- Non-Expansive Actions of Topological Semigroups and Fixed Points
