Convexifactors, Generalized Convexity, and Optimality Conditions

J. Dutta and S. Chandra
Additional contact information
J. Dutta: Indian Statistical Institute
S. Chandra: Indian Institute of Technology

Journal of Optimization Theory and Applications, 2002, vol. 113, issue 1, No 4, 64 pages

Abstract: Abstract The recently introduced notion of a convexifactor is further studied, and quasiconvex and pseudoconvex functions are characterized in terms of convexifactors. As an application to a chain rule, a necessary optimality condition is deduced for an inequality constrained mathematical programming problem.

Keywords: Nonsmooth analysis; locally Lipschitz functions; optimality conditions; generalized convexity; generalized monotonicity (search for similar items in EconPapers)
Date: 2002
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

Downloads: (external link)
http://link.springer.com/10.1023/A:1014853129484 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:113:y:2002:i:1:d:10.1023_a:1014853129484

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

DOI: 10.1023/A:1014853129484

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 ().