Results 11 to 20 of about 12,294,384 (368)
Higher-Order Optimality Conditions for Degenerate Unconstrained Optimization Problems
Journal of Optimization, Differential Equations and Their Applications, 2022 In this paper necessary and sufficient conditions of a minimum for the unconstrained degenerate optimization problem are presented. These conditions generalize the well-known optimality conditions.
Viktor Zadachyn
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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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Necessary optimality conditions for two-step descriptor systems
AIMS Mathematics, 2022 This paper is concerned with an optimal control problem for general two-step descriptor systems. Based on the nonsmooth analysis and variational techniques, we establish the first-order necessary optimality conditions.
Xin Wang, Yuxiang Liu, Lisha Wang
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Optimality conditions for isoperimetric continuous - time optimization problems [PDF]
Yugoslav Journal of Operations Research, 2023 In this paper we deal with a nonsmooth case of isoperimetric convex continuoustime programming problem with inequality integral constraint and phase constraint, defined in L∞([0, T],Rn). In order to obtain necessary optimality conditions for this problem,
Vicanović Jelena
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Sufficient Optimality Conditions in Bilevel Programming [PDF]
Mathematics of Operations Research, 2019 This paper is concerned with the derivation of first- and second-order sufficient optimality conditions for optimistic bilevel optimization problems involving smooth functions.
P. Mehlitz, A. Zemkoho
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Constrained Nonsmooth Problems of the Calculus of Variations
, 2021 The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems of the calculus of variations with various types of constraints, such as additional constraints at the boundary and isoperimetric constraints.
Dolgopolik, M. V.
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SIAM Journal on Optimization, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function. We prove that a global solution of the problem can be approximated by an exact or an inexact solution ...
Maréchal, Pierre, Ye, Jane
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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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Mathematics, 2021 In the traditional nonlinear optimization theory, the Karush-Kuhn-Tucker (KKT) optimality conditions for constrained optimization problems with inequality constraints play an essential role.
Md Sadikur Rahman +4 more
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Second-Order KKT Optimality Conditions for MultiObjective Optimal Control Problems [PDF]
SIAM Journal of Control and Optimization, 2017 In this paper, we study second-order necessary and sufficient optimality conditions of Karush--Kuhn--Tucker-type for locally optimal solutions in the sense of Pareto to a class of multi-objective optimal control problems with mixed pointwise constraint ...
B. T. Kien, N. Tuyen, Jen-Chih Yao
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