Title
Second And Higher Order Duality In Banach Space Under Ρ-(Η,Θ)-Invexity
Keywords
ρ-(η,θ)-invexity; Converse duality; Second and higher order duality; Strong duality; Weak duality
Abstract
In this paper, we introduce the concept of second and higher order duality in Banach space using ρ-(η,θ)-invexity type conditions. Duality theorems for Mangasarian type, Mond-Weir type are established under weaker conditions. We also give counter examples to justify our work. © 2010 Elsevier Ltd.
Publication Date
8-1-2011
Publication Title
Nonlinear Analysis: Hybrid Systems
Volume
5
Issue
3
Number of Pages
457-466
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.nahs.2010.10.004
Copyright Status
Unknown
Socpus ID
79959902061 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/79959902061
STARS Citation
Padhan, S. K.; Nahak, C.; and Mohapatra, R. N., "Second And Higher Order Duality In Banach Space Under Ρ-(Η,Θ)-Invexity" (2011). Scopus Export 2010-2014. 2650.
https://stars.library.ucf.edu/scopus2010/2650