Optimally Conditions for Pareto Nonsmooth Nonconvex Programming in Banach Spaces

A. J. V. Brandão, M. A. Rojas-Medar and G. N. Silva
Additional contact information
A. J. V. Brandão: ICEB-UFOP
M. A. Rojas-Medar: IMECC-UNICAMP
G. N. Silva: Universidade Estadual Paulista

Journal of Optimization Theory and Applications, 1999, vol. 103, issue 1, No 3, 65-73

Abstract: Abstract In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush–Kuhn–Tucker conditions. We also introduce a nonsmooth dual problem and provide duality theorems.

Keywords: Vector optimization; optimality conditions; nonsmooth duality; invexity (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://link.springer.com/10.1023/A:1021769232224 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:103:y:1999:i:1:d:10.1023_a:1021769232224

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

DOI: 10.1023/A:1021769232224

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 ().