Results 261 to 270 of about 8,579,021 (292)

Vector optimization problems with quasiconvex constraints

Journal of Global Optimization, 2008
The paper considers vector optimization problems in topological real linear spaces \(X, Y, Z\): \[ \min_C f(x) \text{ subject to } g(x) \in -K, \] where \(C\subset Y\) and \(K\subset\)Z are closed convex cones, \(X_0 \subset X\) and \(f:X_0 \rightarrow Y, g:X_0 \rightarrow Z\). Optimality is defined as weak efficiency.
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Generalized Convexity and Nonsmooth Problems of Vector Optimization

Journal of Global Optimization, 2005
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Pham Huu Sach, Do Sang Kim, Gue Myung Lee   +2 more
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Well Posedness in Vector Optimization Problems and Vector Variational Inequalities

Journal of Optimization Theory and Applications, 2007
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Giovanni P Crespi, M Rocca
exaly   +3 more sources

Optimality Conditions for Vector Equilibrium Problems with Applications

Journal of Optimization Theory and Applications, 2018
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Alfredo N. Iusem, Felipe Lara 0001
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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 ...
C. S. Lalitha, Prashanto Chatterjee
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A Projected Gradient Method for Vector Optimization Problems

Computational Optimization and Applications, 2004
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L. Mauricio Graña Drummond, Alfredo N. Iusem   +1 more
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Scalarizing vector optimization problems

Journal of Optimization Theory and Applications, 1984
A scalarization of vector optimization problems is proposed, where optimality is defined through convex cones. By varying the parameters of the scalar problem, it is possible to find all vector optima from the scalar ones. Moreover, it is shown that, under mild assumptions, the dependence is differentiable for smooth objective maps defined over ...
A. PASCOLETTI, SERAFINI, Paolo
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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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On combinatorial vector optimization problems

Discrete Mathematics and Applications, 1995
Summary: A class of combinatorial optimization problems with several criteria of the form MINMAX and MINSUM in arbitrary combinations is investigated. A class of vector optimization problems is formulated in terms of systems of subsets. It contains optimization problems on graphs and Boolean programming.
Emelichev, V. A., Kravtsov, M. K.
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On the reciprocal vector optimization problems

Journal of Optimization Theory and Applications, 1985
A necessary and sufficient condition is established for an optimal solution of a primal vector optimization problem to be an optimal solution of its reciprocal. Such a condition is developed and analyzed in the Pareto case, the strong case, and the lexicographic case. We detail these results for ordinary (i.e., scalar) optimization problems.
PAPPALARDO, MASSIMO, FAVATI P.
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