Results 121 to 130 of about 81,930 (160)

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 ...
Gutiérrez, C., Jiménez, B., Novo, V.
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Vector Stochastic Optimization Problems

2001
A vector optimization problem is studied, whose objective function is a vector of distribution functions depending on a vector of decision variables. Properties of the model are investigated and a scalar representation in terms of the joint distribution function is proposed.
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On Relations Between Vector Optimization Problems and Vector Variational Inequalities

Journal of Optimization Theory and Applications, 2002
In this paper, considering the lower semicontinuum and some generalized convexities, respectively, equivalences are obtained between weak Pareto solutions of vector optimization problems and solutions of vector variational inequalities involving two generalized directional derivatives.
Ward, D. E., Lee, G. M.
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Scalarization of vector optimization problems

Journal of Optimization Theory and Applications, 1987
We investigate the scalar representation of vector optimization problems in close connection with monotonic functions. We show that it is possible to construct linear, convex, and quasiconvex representations for linear, convex, and quasiconvex vector problems, respectively.
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Well Posedness in Vector Optimization Problems and Vector Variational Inequalities

Journal of Optimization Theory and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Crespi, G. P., Guerraggio, A., Rocca, M.
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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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Generalized Minty Vector Variational-Like Inequalities and Vector Optimization Problems

Journal of Optimization Theory and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Homidan, S., Ansari, Q. H.
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Extended Well-Posedness of Quasiconvex Vector Optimization Problems

Journal of Optimization Theory and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Crespi G. P., Papalia M., ROCCA, MATTEO
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Optimality Conditions for Vector Optimization Problems

2014
In this chapter we provide subdifferential information for the scalarization functionals introduced in Chap. 6. Based on that we are able to formulate necessary and sufficient optimality conditions of Fermat and Lagrange type for unconstrained and constrained vector optimization problems with (set-valued) objective maps mapping in a real linear space ...
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Pareto-optimality conditions in discrete vector optimization problems

Discrete Mathematics and Applications, 1997
Summary: For the vector optimization problem \[ F=(f_1,f_2, \dots, f_n):X\to \mathbb{R}^n,\quad n\geq 2, \] \[ f_i(x) \to\min_X \quad\forall i\in N_n =\{1,2, \dots,n\}, \] with a finite set of vector estimators \(F(X)\) we give a wide class of efficiency (Pareto-optimality) criteria in terms of linear convolutions of transformed partial criteria.
Emelichev, V. A., Yanushkevich, O. A.
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