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Second-Order Optimality Conditions for Interval-Valued Optimization Problem
Asia-Pacific Journal of Operational ResearchIn this paper, we discuss the second-order KKT-type optimality conditions for interval-valued optimization problem. To derive second-order necessary and sufficient conditions, we use two different methodologies: square slack variable method and the theory of geometric cone optimality conditions for interval-valued objective functions.
Sachin Rastogi, Akhlad Iqbal
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On second-order conditions in vector optimization [PDF]
, 2002 Starting from second-order conditions for C 1,1 scalar unconstrained optimization problems described in terms of the second-order Dini directional derivative, we pose the problem, whether similar conditions for C 1,1 vector optimization problems can be derived.
Ginchev Ivan +2 more
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Second order optimality conditions with applications
2007The aim of this article is to present the algorithm to compute the first conjugate point along a smooth extremal curve. Under generic assump- tions, the tra jectory ceases to be optimal at such a point. An implementation of this algorithm, called cotcot, is available online and based on recent devel- opments in geometric optimal control.
Bonnard, Bernard +2 more
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Second-Order Sufficient Optimality Conditions for an Optimal Control Problem with Mixed Constraints
Results in Mathematics, 2022L Q Thuy, N T Toan
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Second-order KKT optimality conditions for multiobjective discrete optimal control problems
Journal of Global Optimization, 2020Nguyen van Tuyen +2 more
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Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints
SIAM Journal on Optimization, 2016A Rosch, B T Kien
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