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
Ewa Bednarczuk (2007)
Control and Cybernetics
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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).
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...
Applications of the Fréchet subdifferential
Durea, M. (2003)
Serdica Mathematical Journal
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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...
Second order optimality conditions for differentiable multiobjective problems
Giancarlo Bigi, Marco Castellani (2010)
RAIRO - Operations Research
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A second order optimality condition for multiobjective optimization with a set constraint is developed; this condition is expressed as the impossibility of nonhomogeneous linear systems. When the constraint is given in terms of inequalities and equalities, it can be turned into a John type multipliers rule, using a nonhomogeneous Motzkin Theorem of the Alternative. Adding weak second order regularity assumptions, Karush, Kuhn-Tucker type conditions are therefore deduced. ...