arXiv:1207.2836 Abstract | arXiv Analytics

arXiv:1207.2836 [math.FA]Abstract References Reviews Resources

Geometric properties of maximal monotone operators and convex functions which may represent them

Published 2012-07-12Version 1

We study the relations between some geometric properties of maximal monotone operators and generic geometric and analytical properties of the functions on the associate Fitzpatrick family of convex representations. We also investigate under which conditions a convex function represents a maximal monotone operator with bounded range and provide an example of a non type (D) operator on this class.

Comments: 15 pages

Categories: math.FA

Subjects: 47H05, 49J52, 47N10

Keywords: maximal monotone operator, geometric properties, convex function represents, non type, generic geometric

Related articles: Most relevant | Search more

arXiv:0805.4597 [math.FA] (Published 2008-05-29)

A new old class of maximal monotone operators

M. Marques Alves, B. F. Svaiter

arXiv:2401.00293 [math.FA] (Published 2023-12-30)

Representation formulas for maximal monotone operators of type (D) in Banach spaces whose dual spaces are strictly convex

Nguyen B. Tran, Tran N. Nguyen, Huynh M. Hien

arXiv:1411.6199 [math.FA] (Published 2014-11-23)