Second- and higher-order generalised invexity and duality in mathematical programming
type: Item
instance of: scholarly article
title: Second- and higher-order generalised invexity and duality in mathematical programming
zbMATH Open document ID: 1390.90567
DOI: 10.1504/IJMOR.2013.052459
author: S. K. Padhan
author: Chandal Nahak
published in: International Journal of Mathematics in Operational Research
publication date: 2018-05-29T00:00:00Z
review text: Summary: We have introduced the second- and higher-order generalised invex functions and applied it to mathematical programming problems. Also, we have established many duality relations (weak, strong and converse duality) between the non-linear primal problem and their corresponding second- and higher-order dual problems. By taking different examples, we have shown, that second-order duality gives tighter bound than first-order duality. It has also been observed that the higher-order duality gives tighter bound than first- and second-order duality.
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 6876013
zbMATH Keywords: second-order generalised invexity
zbMATH Keywords: second- and higher-order duality results
MaRDI profile type: Publication
full work available at URL: ijmor.2013.052459
OpenAlex ID: W2136200239
description: scientific article; zbMATH DE number 6876013