Semi-\(G\)-preinvexity and optimality in mathematical programming
type: Item
instance of: scholarly article
title: Semi-\(G\)-preinvexity and optimality in mathematical programming
zbMATH Open document ID: 1406.90117
DOI: 10.1155/2014/396142
author: Yong Zhao
author: Kaizhi Yu
author: Zhi Lin
author: Zaiyun Peng
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: We mainly discuss the properties and applications of semi-\(G\)-preinvexity, which was introduced in Peng and Chang 2013. Examples are given to show the existence of semi-\(G\)-preinvex functions. Three important properties and characterizations of semi-\(G\)-preinvex functions are established. Furthermore, under semi-\(G\)-preinvexity, some optimality results are obtained in nonlinear programming problems with inequality constraint. Our results improve and generalize some known results.
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 7010620
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/396142
OpenAlex ID: W1976803758
Wikidata QID: Q59051213
DBLP publication ID: journals/jam/PengZYL14
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description: scientific article; zbMATH DE number 7010620