On cyclic and $$n$$ n -cyclic monotonicity of bifunctions

M. Alizadeh (), M. Bianchi (), N. Hadjisavvas () and R. Pini ()

Journal of Global Optimization, 2014, vol. 60, issue 4, 599-616

Abstract: In the recent literature, the connection between maximal monotone operators and the Fitzpatrick function is investigated. Subsequently, this relation has been extended to maximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize some of these results to maximal $$n$$ n -cyclically monotone and maximal cyclically monotone bifunctions, by introducing and studying the Fitzpatrick transforms of order $$n$$ n or infinite order for bifunctions. Copyright Springer Science+Business Media New York 2014

Keywords: Monotone bifunction; Maximal monotone operator; Cyclically monotone bifunction; Fitzpatrick function; $$n$$ n -Cyclic monotonicity (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://hdl.handle.net/10.1007/s10898-013-0113-7 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:60:y:2014:i:4:p:599-616

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-013-0113-7

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().