Scientific Seminar Effective methods in metric analysis
Coordinators: Marius Buliga, Laurentiu Leustean
Talks
Wednesday, November 27, 2013
14:00 am in Room 306307 "Constantin Banica", IMAR
Daniel Ivan (IMAR)
An introduction to pseudocontractive mappings (III)
Friday, November 22, 2013
10:00 am in Room 306307 "Constantin Banica", IMAR
Daniel Ivan (IMAR)
An introduction to pseudocontractive mappings (II)
Friday, November 15, 2013
10:00 am in Room 306307 "Constantin Banica", IMAR
Daniel Ivan (IMAR)
An introduction to pseudocontractive mappings
Abstract: Pseudocontractive mappings are an important class of nonlinear functions introduced by Browder and Petryshyn in [1]. In this seminar we will analyse the convergence problem for sequences of various types of iterations of pseudocontractive mappings in Hilbert spaces, and additional conditions under which strong convergence is ensured.
[1] F.E.Browder, W.V.Petryshyn, Construction of Fixed Points of Nonlinear Mappings in Hilbert Spaces, Journal of Mathematical Analysis and Applications 20, 197228 (1967)
Wednesday, June 12, 2013
10:00 am in Room 309310 "Gheorghe Vranceanu", IMAR
Aurora FernandezLeon (University of Seville)
The reflection method to solve the convex feasibility problem in geodesic spaces
Abstract
Wednesday, June 5, 2013
10:00 am in Room 309310 "Gheorghe Vranceanu", IMAR
Joel Rouyer (IMAR)
Baire categories for Alexandrov surfaces with curvature bounded below
Abstract: We shall present the space of Alexandrov surfaces with curvature bounded below by K. We shall see that the set of Kpolyhedra and the set of Riemaniann surfaces whose Gauss curvature is at least K are both dense in it. Then we shall present some recent results concerning the generic properties of Alexandrov surfaces.
Wednesday, May 29, 2013
10:00 am in Room 309310 "Gheorghe Vranceanu", IMAR
Costin Vilcu (IMAR)
Distance functions on convex surfaces
Abstract: I'll present some results and problems related to distance funtions on convex surfaces, with special emphasys for convex polyhedra.
Wednesday, February 27, 2013
10:00 am in Room 309310 "Gheorghe Vranceanu", IMAR
Marius Buliga (IMAR)
Ricci curvature of Markov chains on metric spaces, after Yann Ollivier
Abstract: Presentation and discussion of the article "Ricci curvature of Markov chains on metric spaces" by Yann Ollivier.
Wednesday, February 20, 2013
10:00 am in Room 306307 "Constantin Banica", IMAR
Marius Buliga (IMAR)
Introduction to Wasserstein distance
Abstract: The talk is based on Ambrosio, Gigli, Savare, Gradient flows in metric spaces and in the space of probability measures, Lectures in Mathematics, ETH Zurich, Birkhauser Verlag, Basel, 2008.
Wednesday, January 23, 2013
10:00 am in Room 306307 "Constantin Banica", IMAR
Adriana Nicolae (IMAR)
Convergence and fixed points in reflexive metric spaces
Abstract: In this talk we give fixed point and convergence results in
the setting of reflexive metric spaces for some classes of
nonexpansivetype single and multivalued mappings.
Wednesday, January 16, 2013
10:00 am in Room 306307 "Constantin Banica", IMAR
Adriana Nicolae (IMAR)
Reflexive metric spaces. Examples and properties
Abstract: Having a metric space for which a certain type of convexity is
defined, we say that the space is reflexive if every descending
sequence of nonempty, bounded, closed and convex subsets of it has a
nonempty intersection. The purpose of this talk is to give important
examples of reflexive metric spaces that have applications in the
metric fixed point theory. In addition, we describe some of their
geometric properties which are key tools for proving fixed point
results in such settings.
Talks in 2011 and 2012
