Results 221 to 230 of about 109,672 (263)

Existence of Solutions in Vector Optimization Problems

Cybernetics and Systems Analysis, 2000
Conditions for the existence of various effective solutions of vector optimization problems with an unbounded convex closed feasible set of solutions are established. The study is based on the use of the properties of recession cones of sets of feasible solutions and cones of perspective directions of optimization problems.
Sergienko, I. V., Lebedeva, T. T., Semenova, N. V.   +2 more
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Stability for Properly Quasiconvex Vector Optimization Problem

Journal of Optimization Theory and Applications, 2012
From the abstract: ``The aim of this paper is to study the stability aspects of various types of solution sets of a vector optimization problem both in the given space and in its image space by perturbing the objective function and the feasible set. The Kuratowski-Painlevé set-convergence of the sets of minimal, weak minimal and Henig proper minimal ...
Lalitha, C. S., Chatterjee, Prashanto
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Vector Variational Inequality and Vector Optimization Problem

1987
The theory as well as the application of the variational inequality have been well documented in the literature. In recent years, various extensions of this problems have been proposed and analyzed. Perhaps the most general extension of the variational inequality in the one studied by Giannessi [1].
Guang-Ya Chen, Ging-Min Cheng
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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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