Optimization problems for locally convex cone-valued functions

A. Azizi Mayvan () and M. R. Motallebi ()
Additional contact information
A. Azizi Mayvan: University of Mohaghegh Ardabili
M. R. Motallebi: University of Mohaghegh Ardabili

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 4, 865-874

Abstract: Abstract We study the optimal solutions of optimization problems and well-posedness for locally convex cone-valued functions. Using the non-linear scalarization functions, we prove some existence results and obtain characterizations of the optimal solutions. Then, we consider the well-posedness in Tykhonov sense and discuss the scalar optimization problems.

Keywords: Locally convex cones; Optimization problems; Well-posedness; Scalarization functions; 46N10; 58E30; 49K40; 46A30 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00192-8 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:indpam:v:53:y:2022:i:4:d:10.1007_s13226-021-00192-8

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00192-8

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().