On semi-\((B, G)\)-preinvex functions
type: Item
instance of: scholarly article
title: On semi-\((B, G)\)-preinvex functions
zbMATH Open document ID: 1237.26010
DOI: 10.1155/2012/530468
author: Xiaoling Liu
author: D. H. Yuan
published in: Abstract and Applied Analysis
publication date: 2012-04-03T00:00:00Z
review text: Summary: We firstly construct a concrete semi-invex set which is not invex. Basing on concept of semi-invex set, we introduce some kinds of generalized convex functions, which include semi-\((B, G)\)-preinvex functions, strictly semi-\((B, G)\)-preinvex functions and explicitly semi-\((B, G)\)-preinvex functions. Moreover, we establish relationships between our new generalized convexity and generalized convexity introduced in the literature. With these relationships and the well-known results pertaining to common generalized convexity, we obtain results for our new generalized convexities. We extend the existing results in the literature.
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 6020981
zbMATH Keywords: generalized convexitiy
zbMATH Keywords: preinvexity
Wikidata QID: Q58695431
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/530468
OpenAlex ID: W2015561072
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description: scientific article; zbMATH DE number 6020981