Results 251 to 260 of about 8,579,021 (292)

Optimality Conditions for Quasi-Solutions of Vector Optimization Problems

Journal of Optimization Theory and Applications, 2013
In this paper, the authors deal with quasi-solutions of constrained vector optimization problems. These solutions are a kind of approximate minimal solutions and they are motivated by the Ekeland variational principle. They introduce several notions of quasi-minimality based on free disposal sets and characterize these solutions through scalarization ...
César Gutiérrez, Bienvenido Jiménez, Vicente Novo   +2 more
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Reducing a Multi Stage Vector Optimization Problem to a Single Stage Vector Optimization Problem

OPSEARCH, 2000
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A Subgradient Method for Vector Optimization Problems

SIAM Journal on Optimization, 2013
Vector optimization problems are a significant extension of scalar optimization and have many real life applications. We consider an extension of the projected subgradient method to convex vector optimization, which works directly with vector-valued functions, without using scalar-valued objectives.
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Vector Optimization Problems via Improvement Sets

Journal of Optimization Theory and Applications, 2011
The authors introduce the concept of improvement sets and optimal points with respect to the preference relation given by an improvement set (a nonempty set \(E\) in \(\mathbb R^n\) is called an improvement set if it does not contain the origin and has a free disposal property: \(E+\mathbb R^n_+ \subseteq E\); and a point \(a\) of a nonempty set \(A ...
CHICCO, MAURIZIO, MIGNANEGO F, PUSILLO, ANGELA LUCIA, TIJS S.   +3 more
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Some Remarks On Vector Optimization Problems

Journal of Optimization Theory and Applications, 1998
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Optimality Conditions for C1,1 Vector Optimization Problems

Journal of Optimization Theory and Applications, 2001
This note deals with the problem of minimizing a vector-valued function \(f: \mathbb{R}^m \to \mathbb{R}^n\), where the order in \(\mathbb{R}^n\) is given by a certain closed convex pointed cone \(K\). The function \(f\) is assumed to be of class \(C^{1,1}\).
GUERRAGGIO, ANGELO, LUC DT
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Interactive stability of vector optimization problems

European Journal of Operational Research, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Vector Variational Inequalities for Nondifferentiable Convex Vector Optimization Problems

Journal of Global Optimization, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gue Myung Lee, Kwang Baik Lee
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On Vector Variational Inequalities and Vector Optimization Problems

2020
This article deals with the relations among Minty and Stampacchia vector variational inequalities and vector optimization problems involving strongly convex functions of higher order. A numerical example has been given to justify the significance of these results.
B. B. Upadhyay, Priyanka Mishra
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Vector approximation problems in geometric vector optimization

Optimization, 1993
Using the geometric vector inequality, introduced by Elster/Elster/Go pfert [9], we consider a special case of that inequality which is a basis for treating certain classes of (nonsmooth) vector optimization problems: vector curve fitting problemslp -vector approximation problems and vector regression problems.
K. H. Elster, R. Elster
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