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On Nondifferentiable and Nonconvex Vector Optimization Problems [PDF]
Journal of Optimization Theory and Applications, 2000 In the past, vector variational inequalities and their generalizations have been used as a tool to solve vector optimization problems. The authors prove equivalence among Minty vector variational-like inequality, Stampacchia vector variational inequality, both for subdifferentiable functions and nondifferentiable nonconvex vector optimization problems.
Qamrul Hasan Ansari
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Optimality Conditions for Vector Optimization Problems
Journal of Optimization Theory and Applications, 2009The paper considers vector optimization problems (VOP) of the form \[ \min F(x) \text{ subject to } u_i(x) \leq 0, i\in\{1, \dots, m\}; v_j(x) =0, j\in\{1, \dots, n\}, \] where \(F:X \rightarrow \mathbb{R}^L\) and \(u_i, v_j: X\rightarrow \mathbb{R}\) and \(X\) is a Banach space.
N. J. Huang, J. Li, S. Y. Wu
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An Algorithm for Vector Optimization Problems
Bulletin of the Malaysian Mathematical Sciences Society, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gong, Xun-Hua, Liu, Fang
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On an Applied Problem of Vector Optimization
2019The paper is devoted to the construction and investigation of mathematical models of economic processes in a local product market. The problem of optimization of prices at outlets of an autonomous network of wholesale under additional restrictions is in focus.
Igor Kandoba, Alexander Uspenskii
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Existence of Solutions in Vector Optimization Problems
Cybernetics and Systems Analysis, 2000Conditions 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. +2 more
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Stability in the Combinatorial Vector Optimization Problems
Automation and Remote Control, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emelichev, V. A. +2 more
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On general vector quasi-optimization problems
Mathematical Methods of Operations Research, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Angelo Guerraggio, Nguyen Xuan Tan
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Vector optimization problem and generalized convexity
Journal of Global Optimization, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Oveisiha, Jafar Zafarani
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Query optimization for vector space problems
Proceedings of the 24th annual international ACM SIGIR conference on Research and development in information retrieval, 2001We present performance measurement results for a parallel SQL based information retrieval system implemented on a PC cluster system. We used the Web-TREC dataset under a left-deep query execution plan. We achieved satisfactory speed up.
Kazuo Goda +4 more
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On the Existence of Solutions to Vector Optimization Problems
2006The existence of solutions to a Vector Optimization Problem is carried out by means of the image space analysis. Classic existence results are revisited and presented under suitable compactness assumptions on the image of the Vector Optimization Problem.
MASTROENI, GIANDOMENICO +1 more
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