We investigate if an existing notion of weak sequential convergence in a Hadamard space can be induced by a topology. We provide an answer on what we call weakly proper Hadamard spaces. A notion of dual space is proposed and it is shown that our weak topology and dual space coincide with the standard ones in the case of a Hilbert space. Moreover we introduce the space of geodesic segments and a corresponding weak topology, and we show that this space is homeomorphic to its underlying Hadamard space. As an application of it we show the existence of a geodesic segment that acts as direction of steepest descent for a geodesically differentiable function whose geodesic derivative satisfies certain properties. Finally we extend several results f...
We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition ...
It is intended in this article to critically review the weak convergence concept in the real Hilbert...
summary:A number of fixed point theorems are presented for weakly contractive maps which have weakly...
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak ...
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak ...
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak ...
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak ...
AbstractThe concept of weak convergence of measures on topological spaces depends on a topology of t...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
AbstractIn this paper we show that some of the recent results on fixed point for CAT(0) spaces still...
AbstractIn this work wome connections are pursued between weak and strong convergence in the spaces ...
AbstractIn this paper we show that some of the recent results on fixed point for CAT(0) spaces still...
To the memory of our friend Klaus ABSTRACT. In every space for which there exists a strictly finer t...
Abstract: Its is proved that a metrizable tvs E over a spherically complete non-archimedean non-triv...
We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition ...
It is intended in this article to critically review the weak convergence concept in the real Hilbert...
summary:A number of fixed point theorems are presented for weakly contractive maps which have weakly...
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak ...
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak ...
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak ...
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak ...
AbstractThe concept of weak convergence of measures on topological spaces depends on a topology of t...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach sp...
AbstractIn this paper we show that some of the recent results on fixed point for CAT(0) spaces still...
AbstractIn this work wome connections are pursued between weak and strong convergence in the spaces ...
AbstractIn this paper we show that some of the recent results on fixed point for CAT(0) spaces still...
To the memory of our friend Klaus ABSTRACT. In every space for which there exists a strictly finer t...
Abstract: Its is proved that a metrizable tvs E over a spherically complete non-archimedean non-triv...
We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition ...
It is intended in this article to critically review the weak convergence concept in the real Hilbert...
summary:A number of fixed point theorems are presented for weakly contractive maps which have weakly...