Maximal monotone operators with non-empty domain interior; characterizations and continuity properties

TL;DR

This paper provides new characterizations and continuity properties of maximal monotone operators with non-empty domain interior in Banach spaces, enhancing understanding of their structure and behavior.

Contribution

It introduces novel characterizations and continuity results for maximal monotone operators with non-empty domain interior in Banach spaces.

Findings

New characterizations of maximal monotone operators with non-empty domain interior

Stronger continuity properties established for these operators

Enhanced understanding of their structural behavior in Banach spaces

Abstract

In the context of general Banach spaces characterizations for the maximal monotonicity of operators with non-empty domain interior as well as stronger continuity properties for such operators are provided.