RMITOpt Talk – Bui Thi Hoa (Federation University)

  Speaker:   Bui Thi Hoa – PhD student in Mathematics at Federation University

Title:  Extremal Principle and its Extension

Date and Time:  Friday, November 9th, 3.00pm – 4.00pm

Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet please contact rmitopt@rmit.edu.au)

Abstract:   The extremality and regularity properties of a collection of sets have been studied for many years. Under the help of extremal principle, the dual criteria of these properties were produced for nonsmooth settings. Nowadays, those concepts are regarded as the cornerstone of studying the existence and behavior of solutions of nonlinear equations such as the stability of the solution mapping under a small linear perturbation. A direction

of this line is to consider those regularity properties directionally. The notion of directional regularity is an extension of an earlier notion used by Bonnans and Shapiro to study sensitivity analysis, and then successfully applied to study optimality conditions for mathematical programming. An extension of extremal principle is needed to characterise those properties.

 

In this talk, we will discuss about extremal principle, its applications, and the regularity properties.

 

Bio:   Bui Thi Hoa is a PhDs student in Mathematics at Federation University Australia as well as a member of CIAO, working on variational analysis and non-smooth optimisation. Hoa is in the second year of her PhD, commencing in December 2016.

 

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