On a nonsmooth vector optimization problem with generalized cone invexity
type: Item
instance of: scholarly article
title: On a nonsmooth vector optimization problem with generalized cone invexity
zbMATH Open document ID: 1256.90034
DOI: 10.1155/2012/458983
author: Hehua Jiao
author: Sanyang Liu
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: Using Clarke's generalized gradients we consider a nonsmooth vector optimization problem with cone constraints and introduce some generalized cone-invex functions called \(K\)-\(\alpha\)-generalized invex, \(K\)-\(\alpha\)-nonsmooth invex, and other related functions. Several sufficient optimality conditions and Mond-Weir-type weak and converse duality results are obtained for this problem under the assumptions of the generalized cone invexity. The results presented in this paper generalize and extend the previously known results in this area.
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 6134094
Wikidata QID: Q58695223
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/458983
OpenAlex ID: W2098015891
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description: scientific article; zbMATH DE number 6134094