Singularities of monotone vector fields and an extragradient-type algorithm
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Publication:555993
DOI10.1007/s10898-003-3780-yzbMath1229.58007OpenAlexW2049830000MaRDI QIDQ555993
Publication date: 13 June 2005
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-003-3780-y
Nonconvex programming, global optimization (90C26) Spherical and hyperbolic convexity (52A55) Real-valued functions on manifolds (58C05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimizing a differentiable function over a differential manifold
- On the metric projection onto convex sets in riemannian spaces
- Subgradient algorithm on Riemannian manifolds
- An iterative algorithm for the variational inequality problem
- Geodesic monotone vector fields
- A class of polynomial variable metric algorithms for linear optimization
- Contributions to the study of monotone vector fields
- Variational inequalities on Hadamard manifolds
- Monotonicity of the complementary vector field of a nonexpansive map
- An extragradient-type algorithm for non-smooth variational inequalities
- A New Projection Method for Variational Inequality Problems
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- Manifolds of Negative Curvature
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