Weak sharp minima in multiobjective optimization
Marcin Studniarski (2007)
Control and Cybernetics
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Displaying similar documents to “Weak -sharp minima in vector optimization problems.”
Weak sharp minima in multiobjective optimization
On weak sharp minima in vector optimization with applications to parametric problems
Ewa Bednarczuk (2007)
Control and Cybernetics
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Unified duality for vector optimization problem over cones involving support functions
Surjeet Kaur Suneja, Pooja Louhan (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper we give necessary and sufficient optimality conditions for a vector optimization problem over cones involving support functions in objective as well as constraints, using cone-convex and other related functions. We also associate a unified dual to the primal problem and establish weak, strong and converse duality results. A number of previously studied problems appear as special cases.
Optimality conditions of vector set-valued optimization problem involving relative interior.
Zhou, Zhiang (2011)
Journal of Inequalities and Applications [electronic only]
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Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems
Gadhi, N. (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 90C29; Secondary 90C30. In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C^1, but not necessarily of class C^(1.1).
Local cone approximations in optimization
M. Castellani, M. Pappalardo (2007)
Control and Cybernetics
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Tightly proper efficiency in vector optimization with nearly cone-subconvexlike set-valued maps.
Xu, Y.D., Li, S.J. (2011)
Journal of Inequalities and Applications [electronic only]
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Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints
Truong Q. Bao, Boris S. Mordukhovich (2007)
Applications of Mathematics
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In this paper we study set-valued optimization problems with equilibrium constraints (SOPECs) described by parametric generalized equations in the form where both and are set-valued mappings between infinite-dimensional spaces. Such models particularly arise from certain optimization-related problems governed by set-valued variational inequalities and first-order optimality conditions in nondifferentiable programming. We establish general results on the existence of optimal solutions...
Strong-weak Stackelberg Problems in Finite Dimensional Spaces
Aboussoror, Abdelmalek, Loridan, Pierre (1995)
Serdica Mathematical Journal
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We are concerned with two-level optimization problems called strongweak Stackelberg problems, generalizing the class of Stackelberg problems in the strong and weak sense. In order to handle the fact that the considered two-level optimization problems may fail to have a solution under mild assumptions, we consider a regularization involving ε-approximate optimal solutions in the lower level problems. We prove the existence of optimal solutions for such regularized problems and present...