Mean ergodic theorems for a sequence of nonexpansive mappings in complete \(\mathrm{CAT}(0)\) spaces and its applications
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Publication:6083281
DOI10.1515/math-2023-0121zbMath1529.47100OpenAlexW4387317195MaRDI QIDQ6083281
Fumiaki Kohsaka, Sakan Termkaew, Parin Chaipunya
Publication date: 31 October 2023
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2023-0121
Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Nonlinear ergodic theorems (47H25)
Cites Work
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- Weak convergence of infinite products of operators in Hadamard spaces
- An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
- Nonlinear ergodic theorems for amenable semigroups of nonexpansive mappings in Hadamard spaces
- A concept of convergence in geodesic spaces
- CAT\((k)\)-spaces, weak convergence and fixed points
- A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces
- Almost convergence and nonlinear ergodic theorems
- The tangent cone of an Aleksandrov space of curvature \(\leq K\)
- Non-linear ergodic theorems in complete non-positive curvature metric spaces
- A mean ergodic theorem for nonexpansive mappings in Hadamard spaces
- Symmetric spaces of measurable functions: some new and old advances
- Polyhedral computational geometry for averaging metric phylogenetic trees
- Theorems of ergodic type for \(\rho\)-nonexpansive mappings in the Hilbert ball
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- Almost uniform and strong convergences in ergodic theorems for symmetric spaces
- Quasilinearization and curvature of Aleksandrov spaces
- Fixed points of uniformly Lipschitzian mappings
- Mean ergodic theorem in symmetric spaces
- The mean ergodic theorem
- Convex analysis and optimization in Hadamard spaces
- Computing Medians and Means in Hadamard Spaces
- Firmly nonexpansive mappings in classes of geodesic spaces
- Mean Ergodic Theorems for Nonlinear Operators
- A Proof of the Mean Ergodic Theorem for Nonexpansive Mappings in Banach Space
- The Nonlinear Ergodic Theorem for Asymptotically Nonexpansive Mappings in Banach Spaces
- Remarks on Some Fixed Point Theorems
- Proof of the Quasi-Ergodic Hypothesis
- MONOTONE OPERATORS AND THE PROXIMAL POINT ALGORITHM IN COMPLETE CAT(0) METRIC SPACES
- Weak topologies in complete $CAT(0)$ metric spaces
- Monotone Vector Fields and Generation of Nonexpansive Semigroups in Complete CAT(0) Spaces
- Optimal Riemannian metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively curved spaces
