Results 1 to 10 of about 11,355 (263)
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
On a Conjecture in Second-Order Optimality Conditions [PDF]
Journal of Optimization Theory and Applications, 2018 In this paper we deal with optimality conditions that can be verified by a nonlinear optimization algorithm, where only a single Lagrange multiplier is avaliable. In particular, we deal with a conjecture formulated in [R. Andreani, J.M. Martinez, M.L.
Roger Behling +3 more
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source