Some properties of efficient solutions for vector optimization
type: Item
instance of: scholarly article
title: Some properties of efficient solutions for vector optimization
zbMATH Open document ID: 0548.90063
DOI: 10.1007/BF00939284
author: N. E. Zubov
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: We discuss the optimality conditions for vector optimization problems. Properties of efficient and weakly efficient solutions are studied, and some new necessary conditions are obtained. Most of them are related to the mapping properties of the derivative operator f'(x) of the objective function f. Almost all of our results are based on the methods of functional analysis and the theory of degree.
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 49J50
Mathematics Subject Classification ID: 49K10
zbMATH DE Number: 3874971
zbMATH Keywords: Fréchet and Gateaux differentiability
zbMATH Keywords: continuously nested approximations
zbMATH Keywords: Brouwer and Leray-Schauder degrees
zbMATH Keywords: Lebesgue measure
zbMATH Keywords: optimality conditions
zbMATH Keywords: vector optimization
zbMATH Keywords: weakly efficient solutions
zbMATH Keywords: theory of degree
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939284
OpenAlex ID: W1991187548
description: scientific article; zbMATH DE number 3874971