[HTML][HTML] New Convergence Theorems for Pseudomonotone Variational Inequality on Hadamard Manifolds
Z Ma, L Wang - Symmetry, 2023 - mdpi.com
… to solve the pseudomonotone VIP (2) on Hadamard manifolds. Here, the vector field A is a
… algorithm converges to a solution of pseudomonotone VIP (2) on Hadamard manifolds. We …
… algorithm converges to a solution of pseudomonotone VIP (2) on Hadamard manifolds. We …
Full convergence of the proximal point method for quasiconvex functions on Hadamard manifolds
EAP Quiroz, PR Oliveira - ESAIM: Control, Optimisation and Calculus …, 2012 - cambridge.org
… and generalized subdiferential on Hadamard manifolds are presented, providing … Hadamard
manifolds for quasiconvex functions. Then, assuming that the objective function is bounded …
manifolds for quasiconvex functions. Then, assuming that the objective function is bounded …
Monotone vector fields and the proximal point algorithm on Hadamard manifolds
… The main result of this section is Theorem 4.7, which shows the convergence of the algorithm
for … We first recall the notion of Fejér convergence and the following related result (see [12]). …
for … We first recall the notion of Fejér convergence and the following related result (see [12]). …
Proximal point algorithms on Hadamard manifolds: linear convergence and finite termination
… our theorems obtained in the present paper. … a Hadamard manifold. Throughout the remainder
of this paper, we will always assume that M is an m-dimensional Hadamard manifold. Let …
of this paper, we will always assume that M is an m-dimensional Hadamard manifold. Let …
Existence and stability of solutions for maximal element theorem on Hadamard manifolds with applications
Z Yang, YJ Pu - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
… , maximal element theorem on Hadamard manifolds is … theorem on Hadamard manifolds.
Further, we prove that most of problems in maximal element theorem on Hadamard manifolds (…
Further, we prove that most of problems in maximal element theorem on Hadamard manifolds (…
[HTML][HTML] Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces
… [9] observed that although Hadamard spaces extend Hilbert spaces and Hadamard manifolds,
the prior notion of monotonicity barely has a relationship with the Hadamard manifolds. …
the prior notion of monotonicity barely has a relationship with the Hadamard manifolds. …
Hadamard manifolds
K Shiga - Geometry of Geodesics and Related Topics, 1984 - projecteuclid.org
… assume that {t nCO)} converges to a unit vector v at p. Then {r n} converges to rv, the geodesic
ray … In this section, we shall give a splitting theorem of a Hadamard manifold under the …
ray … In this section, we shall give a splitting theorem of a Hadamard manifold under the …
[PDF][PDF] Uniform Finsler Hadamard manifolds
D Egloff - Annales de l'IHP Physique théorique, 1997 - numdam.org
… of bounded curvature can not be used to study Finsler … For our purpose the following
coarse comparison theorem is … the Finsler manifold is uniform the angle measure is bounded …
coarse comparison theorem is … the Finsler manifold is uniform the angle measure is bounded …
Old and new challenges in Hadamard spaces
M Bacák - arXiv preprint arXiv:1807.01355, 2018 - arxiv.org
… Many Hadamard space theorems surveyed in the present … weak convergence in Hadamard
spaces [104, Definition 2.7]. … matrices (which form a Hadamard manifold as we noted above). …
spaces [104, Definition 2.7]. … matrices (which form a Hadamard manifold as we noted above). …
[图书][B] Convex analysis and optimization in Hadamard spaces
M Bacák - 2014 - books.google.com
… concerned, the Hopf–Rinow theorem is not valid any more … an infinite dimensional Hadamard
manifold and we will de- … (my) is Cauchy, and hence converges to a point me X, which is …
manifold and we will de- … (my) is Cauchy, and hence converges to a point me X, which is …
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