A review on constraint handling techniques for population-based algorithms: from single-objective to multi-objective optimization

I Rahimi, AH Gandomi, F Chen… - Archives of Computational …, 2023 - Springer
Most real-world problems involve some type of optimization problems that are often
constrained. Numerous researchers have investigated several techniques to deal with …

Higher-order optimality conditions for nonregular multiobjective problem

AS Melo, LB Dos Santos, MA Rojas-Medar - Annals of Operations …, 2024 - Springer
In this paper, we present necessary and sufficient optimality conditions for multiobjective
problems with equality and inequality constraints defined in Banach spaces. We focus on …

Necessary conditions for weak minima and for strict minima of order two in nonsmooth constrained multiobjective optimization

E Constantin - Journal of Global Optimization, 2021 - Springer
In this paper, we give necessary conditions for the existence of a strict local minimum of
order two for multiobjective optimization problems with equality and inequality constraints …

Second-order optimality conditions in locally Lipschitz multiobjective fractional programming problem with inequality constraints

TV Su, DD Hang - Optimization, 2023 - Taylor & Francis
Our purpose, in this article, is to establish second-order optimality conditions for a second-
order strict local Pareto minimum and a weak local Pareto minimum for a locally Lipschitz …

Higher-order KKT optimality conditions through contingent derivatives for constrained nonsmooth vector equilibrium problems

T Van Su, DD Hang - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper, we deal with some higher-order optimality conditions for local strict efficient
solutions to a nonsmooth vector equilibrium problem with set, cone and equality constraints …

Second-order optimality conditions for locally Lipschitz vector optimization problems

Aanchal, CS Lalitha - Optimization, 2024 - Taylor & Francis
In this paper, we derive primal and dual second-order necessary and sufficient optimality
conditions for a vector optimization problem with equality and inequality constraints where …

Second-order optimality conditions for strict pareto minima and weak efficiency for nonsmooth constrained vector equilibrium problems

TV Su, DV Luu - Numerical Functional Analysis and Optimization, 2022 - Taylor & Francis
In this article, some types of lower and upper second-order strictly pseudoconvexity are
provided for establishing sufficient conditions for the second-order strict local Pareto minima …

Dual Kuhn-Tucker necessary conditions for strict minima of order two for nonsmooth vector optimization problems with inequality and equality constraints

E Constantin - Optimization, 2024 - Taylor & Francis
In this paper, we give primal and dual Kuhn-Tucker necessary conditions for the existence of
a strict local minimum of order two for vector optimization problems with equality and …

Directional Compactness, Approximations and Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Constraints

T Van Su - Results in Mathematics, 2024 - Springer
In this article, we introduce and study a natural version of the directional compactness, which
can be viewed as one of the effective tools for constructing sufficient conditions in …

Second-order optimality conditions for strict local Pareto minima of cosntrained nonsmooth multiobjective optimization problems

LT Nguyen - Thang Long Journal of Science …, 2024 - science.thanglong.edu.vn
Second-order optimality conditions for strict local Pareto minima of constrained nonsmooth
multiobjective optimization problems Page 1 J. Math. Math. Sci. (2024) 115–133 Second-order …