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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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Second-order optimality conditions for interval-valued functions [PDF]
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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Second-Order Subdifferential Optimality Conditions in Nonsmooth Optimization [PDF]
SIAM Journal on OptimizationThe paper is devoted to deriving novel second-order necessary and sufficient optimality conditions for local minimizers in rather general classes of nonsmooth unconstrained and constrained optimization problems in finite-dimensional spaces. The established conditions are expressed in terms of second-order subdifferentials of lower semicontinuous ...
Pham Duy Khanh +3 more
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Second-order variational analysis of PV–battery energy management using jacobi equations [PDF]
Scientific ReportsThe increasing penetration of photovoltaic (PV) generation requires energy management strategies for PV–battery systems that are not only optimal but also stable and robust under variable solar generation and load demand.
M. M. Mundu +5 more
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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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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
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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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