optimality conditions
APPROXIMATE OPTIMALITY CONDITIONS
... approximate optimality conditions in terms of Ekeland’s variational principle and some of its ...approximate optimality conditions are established in the cases: convex, locally Lipschitz and ...
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Optimality conditions for pessimistic semivectorial bilevel programming problems
... developed optimality conditions for the bilevel optimal con- trol problem, which is a special case of semivectorial bilevel programming ...the optimality conditions were presented, ...detailed ...
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Global and local optimality conditions in set valued optimization problems
... write optimality conditions for the studied problems (see [5, 12, 13, 15, 16, 17, 23, 24, 25, ...global conditions like those studied in the preceding section, in the study of minimum notions ...
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On optimality conditions for optimal control problem in coefficients for Δp-Laplacian
... In Section we discuss the formal approach in deriving first-order optimality conditions for optimal control problem (.)-(.). In order to derive an optimality system, we apply the Lagrange ...
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Solution Concepts and New Optimality Conditions in Bilevel Multiobjective Programming
... ity conditions in bilevel multiobjective optimization, in the general case were both the higher and the lower level problems are ...by optimality con- ditions given by ...ity conditions for a ...
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On the Second Order Optimality Conditions for Optimization Problems with Inequality Constraints
... order optimality conditions for (PE) in connection with those of ...sufficient optimality conditions for (P) imply the same property for ...
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On ε-optimality conditions for multiobjective fractional optimization problems
... Jeyakumar et al. [1,2], Kim et al. [3], and Lee et al. [4], gave optimality conditions for convex (scalar) optimization problems, which hold without any constraint qualification. Very recently, Kim et al. ...
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Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems
... We study first- and second-order necessary and sufficient optimality conditions for approximate weakly, properly efficient solutions of multiobjective optimization problems. Here, tangent cone, -normal cone, ...
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Kuhn Tucker Optimality Conditions for Vector Equilibrium Problems
... the optimality conditions for weakly efficient solutions, Henig solutions, superefficient solutions, and globally efficient solutions to the vector equilibrium ...necessary conditions to the vector ...
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Optimality Conditions in Nondifferentiable G Invex Multiobjective Programming
... the optimality and duality for G-multi-objective programming ...develop optimality conditions for differentiable multiobjective programming problems with both inequality and equality ...necessary ...
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Optimality conditions for Vector Equilibrium Problems on Hadamard manifolds
... Karush-Kuhn-Tucker optimality conditions for weakly efficient solutions to vector equilibrium problems with the addition of constraints in the novel context of Hadamard manifolds as opposed to the classical ...
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Optimality Conditions and Duality for DC Programming in Locally Convex Spaces
... DC programming of type 1.1 when A is an identity operator has been considered in the R n space in paper 5, where the authors obtained some necessary optimality conditions for local minimizers to 1.1 by ...
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Optimality conditions for strict minimizers of higher order in semi infinite multi objective optimization
... sufficient optimality conditions is the strong convexity of higher-order ...Necessary optimality conditions of Karush-Kuhn- Tuchker type are derived under these two constraint ...sufficient ...
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On interval valued invex mappings and optimality conditions for interval valued optimization problems
... Kuhn-Tucker optimality conditions to nonconvex opti- mization ...Kuhn-Tucker optimality conditions are proposed for an interval- valued objective function under the assumptions of ...
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Second order sufficient optimality conditions for a class of elliptic control problems
... ∂ ν y i = b y (·, y, u)y i + b u (·, y, u)u i on Γ. (5.2) According to this, we get the splitting w = w 1 + w 2 = (y 1 , u 1 ) + (y 2 , u 2 ). Theorem 2 Let the feasible pair w = (y, u) satisfy the regularity condition ...
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Necessary Optimality Conditions for Multi Objective Semi Infinite Variational Problem
... necessary optimality conditions for a Semi-Infinite Variational ...These optimality conditions are further extended to Multi-objective Semi-infinite Variational Problem (MSVP) as Theorem ...of ...
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Optimality conditions for fractional variational problems with Caputo Fabrizio fractional derivatives
... tional derivatives. In Sections and , the optimality conditions for fractional variational problems are derived. In Section , the optimality condition for the fractional Herglotz problem is ...
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Necessary Optimality Conditions for a Class of Nonsmooth Vector Optimization Problems
... KT optimality conditions under an extended generalized Guignard constraint qualification is established, but in this case the objective function is assumed to be Fréchet ...
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Global optimality conditions for nonconvex minimization problems with quadratic constraints
... global optimality conditions to check a given point is or is not a global minimizer, and illustrates the case where the necessary global optimality condition () is not satisfied at a feasible point ...
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Second order optimality conditions for nonlinear programs and mathematical programs
... In this paper, we investigate the concept of first- and second-order approximations to gen- eralize some results such as optimality conditions for a subclass of convex functions called strongly convex ...
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