Institut für Mathematik

 Dipl.-Ing. Emir Medjic

Tel.: +43 512 507 -
Fax: +43 512 507 53899

Email: emir.medjic@uibk.ac.at

Technikerstraße 13, 7.OG,
Zi.-Nr.: 727
A-6020 Innsbruck

Current Teaching:

Office hours

Fields of Interest:

• Nonlinear functional analysis: (metric) projections in Hilbert and Banach spaces, Non-linear functional analysis, genericity and porosity
  
• Geometry: Geometry in Banach Spaces, metric Geometry

Publications:

preprints

• E. Medjic: On Successive Approximations for Compact-Valued Nonexpansive Mappings. 2022, arxiv:2203.03470

Journal publications

• C. Bargetz, M. Dymond, E. Medjic and S. Reich: On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature. Topol. Methods Nonlinear Anal. 57(2): 621–634, 2021, arxiv:2004.02567
• C. Bargetz and E. Medjic: On the rate of convergence of iterated Bregman projections and of the alternating algorithm. J. Math. Anal. Appl. 481(1): Article 123482, 2020, DOI: 10.1016/j.jmaa.2019.123482, arXiv:1905.00605

Theses:

• E. Medjic: (ONGOING) Typical properties of nonexpansive mappings (title is subject to change). Dissertation. Universität Innsbruck. Betreuer: Dr. Christian Bargetz, Univ.-Prof. Dr. Eva Kopecká
• E. Medjic: The Alternating Algorithm (in uniformly convex and uniformly smooth Banach spaces). Master thesis. Universität Innsbruck. Betreuer: Dr. Christian Bargetz.
• E. Medjic: The Skorohod representation for Polish spaces. Bachelor thesis. Universität Innsbruck. Betreuer: Dipl.-Ing. Steinicke Alexander, PhD

Member of following projects

ongoing

• Generic Properties of Nonexpansive Mappings (FWF P 32523, project website). Project lead: Dr. Christian Bargetz.
  

past projects

• Iterative Projection Methods in Banach Spaces, Tiroler Wissenschaftsförderung (project website). Project lead: Dr. Christian Bargetz.

Conferences:

Upcoming Conferences

Attended Conferences and talks