Representation of generalized monotone multimaps. (3rd July 2019)

• Record Type: Journal Article
• Authors: Penot, Jean-Paul
• Is Part Of: Optimization. Volume 68:Number 7(2019)
• Page Start: 1411
• Page End: 1427
• Publication Date: 2019-07-03
• Subjects: Antiderivative -- balanced space -- conservative set -- cyclically monotone operator -- Fitzpatrick function -- monotone operator; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1438429
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: We survey the role of generalized dualities when dealing with generalized monotone operators, observing that for many conjugacies the coupling function is neither bilinear nor finitely valued. We also make a comparison with the use of bifunctions considered in a similar perspective. We introduce a class of operators close to the class of accretive operators and we raise some open questions.