«Hadamard Space»
۸۵۴ نتیجهOn subdifferential in Hadamard spaces
In this paper, we deal with the subdifferential concept on Hadamard spaces. Flat Hadamard spaces are characterized, and necessary and suficient conditions are presented to prove that the subdifferential set in Hadamard spaces is nonempty. Proximal subdifferential in Hadamard spac
on subdifferential in hadamard spaces
in this paper, we deal with the subdi erential concept onhadamard spaces. flat hadamard spaces are characterized, and nec-essary and sucient conditions are presented to prove that the subdif-ferential set in hadamard spaces is nonempty. proximal subdi erentialin hadamard spaces
Hermite-Hadamard type integral inequalities for uniformly convex functions by using Riemann-Liouville fractional integral transformations with respect to geodesic in Hadamard space
In this paper, we investigate the Hermite-Hadamard inequality for the Riemann-Liouville integral transformations for uniformly convex functions from a geodesic perspective in the Hadamard spaces. This inequality is widely used in some fractional integral approximations.
Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball
and Applied Analysis 3 Theorem 2.1 Kirk 1 . LetU be a bounded open subset of a Hadamard space X and S : clU → X a nonexpansive mapping. Suppose that there exists p ∈ U such that every x in the boundary ofU does not belong to p, Sx \ {Sx}. Then, S has a fixed point in clU. Let C b
Combinatorial Harmonic Maps and Discrete-group Actions on Hadamard Spaces
A harmonic map between two Riemannian manifolds is defined to be a critical point of the energy functional; the energy of a smooth map is by definition the integration of the squared norm of its differential over the source manifold. By solving the heat equation associated with t
Monotone and Pseudo-monotone Equilibrium Problems in Hadamard Spaces
As a continuation of previous work of the first author with S. Ranjbar [26] on a special form of variational inequalities in Hadamard spaces, in this paper we study equilibrium problems in Hadamard spaces, which extend variational inequalities and many other problems in nonlinear
Computing Medians and Means in Hadamard Spaces
The geometric median as well as the Fréchet mean of points in a Hadamard space are important in both theory and applications. Surprisingly, no algorithms for their computation are hitherto known. To address this issue, we use a splitting version of the proximal point algorithm fo
Best proximity point theorems in Hadamard spaces using relatively asymptotic center
In this article we survey the existence of best proximity points for a class of non-self mappings which satisfy a particular nonexpansiveness condition. In this way, we improve and extend a main result of Abkar and Gabeleh [A. Abkar, M. Gabeleh, Best proximity points of
Filling Invariants at Infinity and the Euclidean Rank of Hadamard Spaces
In this paper we study a homological version of the asymptotic filling invariant divk defined by Brady and Farb in [BrFa] and show that it is a quasi-isometry invariant for all proper cocompact Hadamard spaces, i.e. proper cocompact CAT(0)-spaces, and that it can furthermore be u
Asymptotic geometry in the product of Hadamard spaces
In this article we study asymptotic properties of certain discrete groups Γ acting by isometries on a product X = X1×X2 of locally compact Hadamard spaces. The motivation comes from the fact that Kac-Moody groups over finite fields, which can be seen as generalizations of arithme