On Bregman-Type Distances and Their Associated Projection Mappings

Juan Enrique Martínez-Legaz; Maryam Tamadoni Jahromi; Eskandar Naraghirad

doi:https://doi.org/10.1007/s10957-021-01970-4

On Bregman-Type Distances and Their Associated Projection Mappings

Juan Enrique Martínez-Legaz^*, Maryam Tamadoni Jahromi, Eskandar Naraghirad

^*Corresponding author for this work

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

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.

Original language	English
Journal	Journal of Optimization Theory and Applications
DOIs	https://doi.org/10.1007/s10957-021-01970-4
Publication status	Accepted in press - 2021

Keywords

Banach space
Bregman distance
Fixed point
Maximally monotone operator

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https://doi.org/10.1007/s10957-021-01970-4

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title = "On Bregman-Type Distances and Their Associated Projection Mappings",

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.",

keywords = "Banach space, Bregman distance, Fixed point, Maximally monotone operator",

author = "Mart{\'i}nez-Legaz, {Juan Enrique} and {Tamadoni Jahromi}, Maryam and Eskandar Naraghirad",

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T1 - On Bregman-Type Distances and Their Associated Projection Mappings

AU - Martínez-Legaz, Juan Enrique

AU - Tamadoni Jahromi, Maryam

AU - Naraghirad, Eskandar

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Banach space

KW - Bregman distance

KW - Fixed point

KW - Maximally monotone operator

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U2 - https://doi.org/10.1007/s10957-021-01970-4

DO - https://doi.org/10.1007/s10957-021-01970-4

M3 - Article

AN - SCOPUS:85120039393

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

SN - 0022-3239

ER -

On Bregman-Type Distances and Their Associated Projection Mappings

Abstract

Keywords

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