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Optimality theorems for convex semidefinite vector optimization problems
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Gue Myung, Lee, Kwang Baik
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On necessary optimality conditions in vector optimization problems
Journal of Optimization Theory and Applications, 1988Necessary conditions of the multiplier rule type for vector optimization problems in Banach spaces are proved by using separation theorems and Lyusternik's theorem. The Pontryagin maximum principle for multiobjective control problems with state constraints is derived from these general conditions.
Khanh, P. Q., Nuong, T. H.
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Fuzzy necessary optimality conditions for vector optimization problems
Optimization, 2009The primary aim of this article is to derive Lagrange multiplier rules for vector optimization problems using a non-convex separation technique and the concept of abstract subdifferential. Furthermore, we present a method of estimation of the norms of such multipliers in very general cases and for many particular subdifferentials.
Marius Durea, Christiane Tammer
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Vector Duality via Scalarization for Vector Optimization Problems
2014As seen in Chap. 3, one can consider different minimality notions for sets and these can be employed in different situations in order to serve various purposes, among which one can find the theory of vector optimization. Solving a vector optimization problem amounts of determining its feasible elements where the value of its objective function ...
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C1,1 vector optimization problems and Riemann derivatives [PDF]
In this paper we introduce a generalized second-order Riemann-type derivative for C 1,1 vector functions and use it to establish necessary and sufficient optimality conditions for vector optimization problems. We show that these conditions are stronger than those obtained by means of the second-order sub-differential in Clarke's sense, considered e.g ...
IVANOV, IVAN GINCHEV +2 more
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Lentiviral vector gene therapies come of age with two FDA approvals
Nature Reviews Drug Discovery, 2022exaly
Arthropod-borne diseases: vector control in the genomics era
Nature Reviews Microbiology, 2005Frank H Collins
exaly

