A critical view on invexity
type: Item
instance of: scholarly article
title: A critical view on invexity
zbMATH Open document ID: 1322.90097
published in: Journal of Optimization Theory and Applications
publication date: 2014-10-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1203.1152
review text: The concept of invexity was first introduced in the 1980s. The main focus of invexity is to find a class of functions for which any point where the derivative of a function vanishes, called critical point, is also a global minimum of the function. The aim of this note is to show that a number of publications on invexity in prestigious journals contain unclear definitions, ambiguous statements and sometimes wrong proofs. By analyzing certain facts of some relevant works, the author wishes to call the readers' attention to the literature on invexity when they use it in their research.
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C49
zbMATH DE Number: 6360643
zbMATH Keywords: invex function
zbMATH Keywords: generalized invex function
zbMATH Keywords: condition C
author: Constantin Zălinescu
reviewed by: Maxim Ivanov Todorov
MaRDI profile type: Publication
OpenAlex ID: W2155493308
arXiv ID: 1203.1152
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DOI: 10.1007/S10957-013-0506-2
description: scientific article; zbMATH DE number 6360643