Weak -sharp minima in vector optimization problems.
Xu, S., Li, S.J. (2010)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Weak sharp minima in multiobjective optimization”
Weak -sharp minima in vector optimization problems.
On weak sharp minima in vector optimization with applications to parametric problems
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Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems
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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).
Strong-weak Stackelberg Problems in Finite Dimensional Spaces
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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...
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Durea, M. (2003)
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2000 Mathematics Subject Classification: 46A30, 54C60, 90C26. In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.
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...