Scientific Seminar Effective methods in metric analysis

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Daniel Ivan (IMAR)
An introduction to pseudocontractive mappings (III)

Daniel Ivan (IMAR)
An introduction to pseudocontractive mappings (II)

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, 197-228 (1967)

Aurora Fernandez-Leon (University of Seville)
The reflection method to solve the convex feasibility problem in geodesic spaces
Abstract

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 K-polyhedra 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.

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.

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.

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.

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 nonexpansive-type single and multivalued mappings.

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.