[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 …

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

Monotone vector fields and the proximal point algorithm on Hadamard manifolds

C Li, G López, V Martín-Márquez - Journal of the London …, 2009 - academic.oup.com
… 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]). …

Proximal point algorithms on Hadamard manifolds: linear convergence and finite termination

J Wang, C Li, G Lopez, JC Yao - SIAM Journal on Optimization, 2016 - SIAM
… 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 …

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 (…

[HTML][HTML] Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces

S Salisu, P Kumam, S Sriwongsa - Analysis and Geometry in Metric …, 2023 - degruyter.com
… [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. …

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 …

[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

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). …

[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 …