Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces
DOI10.1515/agms-2022-0150zbMath1519.47097OpenAlexW4367334355MaRDI QIDQ6113013
Sani Salisu, Poom Kumam, Songpon Sriwongsa
Publication date: 10 July 2023
Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/agms-2022-0150
strong convergencefixed pointresolvent operatorproximal point algorithmtangent space\(\Delta \)-convergencemonotone vector field
Numerical optimization and variational techniques (65K10) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)
Cites Work
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- On Kirk's strong convergence theorem for multivalued nonexpansive mappings on \(\mathrm{CAT}(0)\) spaces
- A concept of convergence in geodesic spaces
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- Convergence comparison of several iteration algorithms for the common fixed point problems
- Gradient flows on nonpositively curved metric spaces and harmonic maps
- The tangent cone of an Aleksandrov space of curvature \(\leq K\)
- A viscosity iterative technique for split variational inclusion and fixed point problems between a Hilbert space and a Banach space
- On the zero point problem of monotone operators in Hadamard spaces
- Approximating solutions of maximal monotone operators in Hilbert spaces
- Convex functionals and generalized harmonic maps into spaces of non positive curvature
- On minimization and fixed point problems in Hadamard spaces
- Iterative solution of split variational inclusion problem in a real Banach spaces
- Strong and \(\Delta\)-convergence to a zero of a monotone operator in CAT(0) spaces
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- Quasilinearization and curvature of Aleksandrov spaces
- Fixed points of uniformly Lipschitzian mappings
- Reductive groups over a local field
- Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees
- Convergence theorems for fixed points in \(\mathrm{CAT}_p(0)\) spaces
- Computing Medians and Means in Hadamard Spaces
- Iterative Algorithms for Nonlinear Operators
- Firmly nonexpansive mappings in classes of geodesic spaces
- Fixed Point Theory in Distance Spaces
- Nonexpansive iterations in hyperbolic spaces
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- MONOTONE OPERATORS AND THE PROXIMAL POINT ALGORITHM IN COMPLETE CAT(0) METRIC SPACES
- On the proximal point method in Hadamard spaces
- Weak topologies in complete $CAT(0)$ metric spaces
- Monotone Vector Fields and Generation of Nonexpansive Semigroups in Complete CAT(0) Spaces
- Tseng's methods for inclusion problems on Hadamard manifolds
- Iterative algorithm for a family of monotone inclusion problems in cat(0) spaces
- A strong convergence theorem for monotone inclusion and minimization problems in complete CAT(0) spaces
- On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
- Convergence theorems for nonexpansive mappings and feasibility problems
- Nonlinear Markov operators associated with symmetric Markov kernels and energy minimizing maps between singular spaces
- Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces
- On Fixed Points of Enriched Contractions and Enriched Nonexpansive Mappings
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