A Note on the McCormick Second-Order Constraint Qualification
Trends in Computational and Applied Mathematics, 2022 The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulation
M. D. Sánchez +2 more
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Sufficiency and duality of set-valued fractional programming problems via second-order contingent epiderivative [PDF]
Yugoslav Journal of Operations Research, 2022 In this paper, we establish second-order sufficient KKT optimality conditions of a set-valued fractional programming problem under second-order generalized cone convexity assumptions.
Das Koushik
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Second-order optimality conditions for interval-valued functions
Journal of Inequalities and Applications, 2023 This work is included in the search of optimality conditions for solutions to the scalar interval optimization problem, both constrained and unconstrained, by means of second-order optimality conditions.
Gabriel Ruiz-Garzón +3 more
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Axioms, 2023 In this paper, we study the optimality conditions for set optimization problems with set criterion. Firstly, we establish a few important properties of the Minkowski difference for sets.
Yuhe Zhang, Qilin Wang
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Second-order conditions for non-uniformly convex integrands: quadratic growth in $L^1$ [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The integral functional is extended to the space of measures.
Daniel Wachsmuth, Gerd Wachsmuth
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Necessary and Sufficient Second-Order Optimality Conditions on Hadamard Manifolds
Mathematics, 2020 This work is intended to lead a study of necessary and sufficient optimality conditions for scalar optimization problems on Hadamard manifolds. In the context of this geometry, we obtain and present new function types characterized by the property of ...
Gabriel Ruiz-Garzón +3 more
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First and second order necessary optimality conditions for discrete optimal control problems [PDF]
Yugoslav Journal of Operations Research, 2006 Discrete optimal control problems with varying endpoints are considered. First and second order necessary optimality conditions are obtained without normality assumptions.
Marinković Boban
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An optimal control problem for the systems with integral boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to ...
M.J. Mardanov, Y.A. Sharifov
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Second-Order Karush-Kuhn-Tucker Optimality Conditions for Vector Problems with Continuously Differentiable Data and Second-Order Constraint Qualifications [PDF]
, 2014 Some necessary and sufficient optimality conditions for inequality constrained problems with continuously differentiable data were obtained in the papers [I. Ginchev and V.I. Ivanov, Second-order optimality conditions for problems with C$\sp{1}$ data, J.
Ivanov, Vsevolod I.
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On Necessary Optimality Conditions for Discrete Control Systems
Известия Иркутского государственного университета: Серия "Математика", 2020 In this article, under weakened assumptions, we study high-order necessary optimality conditions for discrete optimal control problems with the free right end of the trajectory.
M. J. Mardanov, T. K. Melikov
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