Positive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problems
type: Item
instance of: scholarly article
title: Positive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problems
zbMATH Open document ID: 1270.90065
DOI: 10.1155/2013/678154
author: He Qinghai
author: Zhang Binbin
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: We obtain a new Taylor formula in terms of the \(k + 1\) order subdifferential of a \(C^{k,1}\) function from \(\mathbb{R}^n\) to \(\mathbb{R}^m\). As its applications in optimization problems, we build \(k + 1\) order sufficient optimality conditions of this kind of functions and \(k + 1\) order necessary conditions for strongly \(C\)-quasiconvex functions.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 6161361
zbMATH Keywords: Taylor formula
zbMATH Keywords: \(C^{k,1}\) function
zbMATH Keywords: \(C\)-quasiconvex functions
Wikidata QID: Q58916574
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/678154
OpenAlex ID: W2060258846
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description: scientific article; zbMATH DE number 6161361