Caristi-Like Condition and the Existence of Minima of Mappings in Partially Ordered Spaces

Aram V. Arutyunov (), Evgeny S. Zhukovskiy () and Sergey E. Zhukovskiy ()
Additional contact information
Aram V. Arutyunov: Peoples’ Friendship University of Russia
Evgeny S. Zhukovskiy: Tambov State University named after G.R. Derzhavin
Sergey E. Zhukovskiy: Peoples’ Friendship University of Russia

Journal of Optimization Theory and Applications, 2019, vol. 180, issue 1, No 5, 48-61

Abstract: Abstract In this paper, we study mappings acting in partially ordered spaces. For these mappings, we introduce a condition, analogous to the Caristi-like condition, used for functions defined on metric spaces. A proposition on the achievement of a minimal point by a mapping of partially ordered spaces is proved. It is shown that a known result on the existence of the minimum of a lower semicontinuous function defined on a complete metric space follows from the obtained proposition. New results on coincidence points of mappings of partially ordered spaces are obtained.

Keywords: Partially ordered space; Caristi-like condition; Coincidence point; Orderly covering mapping; 06A06; 65K10 (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-018-1413-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:joptap:v:180:y:2019:i:1:d:10.1007_s10957-018-1413-3

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-018-1413-3

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

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