Abstract Concavity of Increasing Co-radiant and Quasi-Concave Functions with Applications in Mathematical Economics

S. Mirzadeh () and H. Mohebi ()
Additional contact information
S. Mirzadeh: Shahid Bahonar University of Kerman
H. Mohebi: Shahid Bahonar University of Kerman

Journal of Optimization Theory and Applications, 2016, vol. 169, issue 2, No 6, 443-472

Abstract: Abstract In this paper, we study nonnegative, increasing, co-radiant and quasi-concave functions over real locally convex topological vector spaces. Such functions have frequently been employed in microeconomic analysis. We next characterize the abstract concavity, the upper support set and the superdifferential of this class of functions by applying a type of duality, which is used in microeconomic theory.

Keywords: Abstract concavity; Abstract convexity; Duality; Co-radiant function; Quasi-concave function; Increasing function; Upper semi-continuous function; Upper support set; Superdifferential; Production function; 26A48; 26B25; 90C46 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-016-0901-6 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:169:y:2016:i:2:d:10.1007_s10957-016-0901-6

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

DOI: 10.1007/s10957-016-0901-6

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 ().