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Second-order optimality conditions for nonlinear programs and mathematical programs [PDF]
Journal of Inequalities and Applications, 2017 It is well known that second-order information is a basic tool notably in optimality conditions and numerical algorithms. In this work, we present a generalization of optimality conditions to strongly convex functions of order γ with the help of first ...
Ikram Daidai
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SECOND ORDER OPTIMALITY CONDITIONS
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 Nonlinear programming problems are studied. Necessary second order optimality conditions are proved under minimal assumptions about constraints.
A. E. Leschov, L. I. Minchenko
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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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Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints
Axioms, 2022 This article concerns the optimality conditions for a smooth optimal control problem with an endpoint and mixed constraints. Under the normality assumption, which corresponds to the full-rank condition of the associated controllability matrix, a simple ...
Aram V. Arutyunov +2 more
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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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Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations
Advances in Difference Equations, 2007 We discuss the existence of optimal controls for a Lagrange problem of systems governed by the second-order nonlinear impulsive differential equations in infinite dimensional spaces.
Y. Peng, X. Xiang, W. Wei
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