VADOR Events Calendar

We frequently host one off lectures on topics relating to variational analysis, dynamics and operations research.  In term-time, we host different speakers at our weekly AKOR seminar.  Seminars take place most Thursdays in Sem. R. DB gelb 04. For 25/26 the start-time will move to 4pm.  Once a month, the AKOR seminar will be replaced by the Vienna Seminar on Optimization, opens an external URL in a new window - a joint venture with Radu Bot and Yurii Malitskyi of the University of Vienna

We organise the Viennese Conference on Optimal Control and Dynamic Games, typically every three years.  VC2025 took place in July 2025.  For further details on this conference, and its forerunners, please visit the VC2025, opens an external URL in a new window website.

Topics and speakers for all forthcoming events will be posted below.

28. November 2024, 15:00 until 17:00

AKOR Seminar: On the regularity of selections and on Minty points of generalized monotone set-valued maps

Seminar

Nicolas Hadjisavvas, University of the Aegean

Abstract: Let T be a generalized monotone set-valued map a Banach space X to its dual X*(for example, quasimonotone, or pseudomonotone in the Karamardian sense). If  S is another set-valued map from X to X* with the property that for every x in X, the set S(x) is contained in the set of strictly positive multiples of elements of T(x), then it is clear that S has the same kind of generalized monotonicity as T. In addition, the corresponding variational inequality problems have the same solutions. 

In this talk, we focus on the following question: Can we select a single-valued operator S as above, which enjoys some property of continuous (in any sense)? 

We show that this is indeed possible under appropriate continuity assumptions on T. In the last part notions of Minty points of T are introduced, and their relationship with zeros as well as effective zeros of T is discussed; a correlation is established between these concepts and the generalized monotonicity of the map T.

Calendar entry

Event details

Event location
Sem. R. DB gelb 04
1040 Wien
Organiser
VADOR
Public
No
Entrance fee
No
Registration required
No

28. November 2024, 15:00 until 17:00

AKOR Seminar: On the regularity of selections and on Minty points of generalized monotone set-valued maps

Seminar

Nicolas Hadjisavvas, University of the Aegean

Abstract: Let T be a generalized monotone set-valued map a Banach space X to its dual X*(for example, quasimonotone, or pseudomonotone in the Karamardian sense). If  S is another set-valued map from X to X* with the property that for every x in X, the set S(x) is contained in the set of strictly positive multiples of elements of T(x), then it is clear that S has the same kind of generalized monotonicity as T. In addition, the corresponding variational inequality problems have the same solutions. 

In this talk, we focus on the following question: Can we select a single-valued operator S as above, which enjoys some property of continuous (in any sense)? 

We show that this is indeed possible under appropriate continuity assumptions on T. In the last part notions of Minty points of T are introduced, and their relationship with zeros as well as effective zeros of T is discussed; a correlation is established between these concepts and the generalized monotonicity of the map T.

Calendar entry

Event details

Event location
Sem. R. DB gelb 04
1040 Wien
Organiser
VADOR
Public
No
Entrance fee
No
Registration required
No