Right Bregman nonexpansive operators in Banach spaces

Host Institution:

The University of Newcastle

Title of Seminar:

Right Bregman nonexpansive operators in Banach spaces

Speaker's Name:

Dr Victoria Martín-Márquez

Speaker's Institution:

University of Seville, Spain

Time and Date:

Monday 26 November, 3.00pm (EDT)

Seminar Abstract:

Nonexpansive operators in Banach spaces are of utmost importance in Nonlinear Analysis and Optimization Theory. We are concern in this talk with classes of operators which are, in some sense, nonexpansive not with respect to the norm, but with respect to Bregman distances. Since these distances are not symmetric in general, it seems natural to distinguish between left and right Bregman nonexpansive operators. Some left classes have already been studied quite intensively, so this talk is mainly devoted to right Bregman nonexpansive operators and the relationship between both classes. This talk is based on joint works with Prof. Simeon Reich and Shoham Sabach from Technion-Israel Institute of Technology, Haifa.

Seminar Convenor:

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