Abstract
We investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances.
Highlights
Introduction and PreliminariesThis paper is motivated by the recent article [9], which introduces a notion of Bregmantype distance associated with a convex representation of an arbitrary maximally monotone operator in such a way that, when the operator is the gradient of a dif-Dedicated to Professor Franco Giannessi on the occasion of his 85th birthday.Communicated by Boris S
JuanEnrique.Martinez.Legaz@uab.cat Maryam Tamadoni Jahromi M.tamadoni@stu.yu.ac.ir; tamadoni_maryam@yahoo.com Eskandar Naraghirad eskandarrad@gmail.com; esnaraghirad@yu.ac.ir 1 Department d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona, Bellaterra, Spain 2 Barcelona Graduate School of Mathematics (BGSMath), Barcelona, Spain 3 Department of Mathematics, Yasouj University, Yasouj 75918, Iran Journal of Optimization Theory and Applications ferentiable strictly convex function f, the Bregman-type distance associated with its convex representation coincides with the classical Bregman distance induced by f
We have obtained convergence properties for Bregman-type distances associated with convex representations of maximally monotone operators
Summary
This paper is motivated by the recent article [9], which introduces a notion of Bregmantype distance associated with a convex representation of an arbitrary maximally monotone operator in such a way that, when the operator is the gradient of a dif-. Dedicated to Professor Franco Giannessi on the occasion of his 85th birthday.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
