On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints by Haijun Wang, Gege Kang, Ruifang Zhang

“…The aim of this paper is to investigate the optimality conditions for a class of nonsmooth multiobjective fractional optimization problems subject to vanishing constraints. …”
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ON THE PROBLEMS OF BILEVEL OPTIMIZATION UNDER RCPLD CONSTRAINT QUALIFICATIONS by L. I. Minchenko, S. I. Sirotko

“…Multilevel optimization problems often arise in various applications (in economics, ecology, power engineering and other areas) when modeling complex systems with a hierarchical structure associated with independent actions of subsystems. …”
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Operating Point Optimization of Agricultural Tractor–Implement Combinations as Constraint Optimization Problem by Benjamin Kazenwadel, Marina Graf, Lukas Michiels, Marcus Geimer

“…The approach simplifies the optimization problem by formulation as a constraint optimization problem, allowing for improving the operating point of tractor–implement combinations with respect to observable process objective functions. …”
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Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints by Shengkun Zhu, Shengjie Li

“…A calmness condition for a general multiobjective optimization problem with equilibrium constraints is proposed. …”
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Constraint Qualifications and Optimality Conditions for Multiobjective Mathematical Programming Problems with Vanishing Constraints on Hadamard Manifolds by Balendu Bhooshan Upadhyay, Arnav Ghosh, Savin Treanţă, Jen-Chih Yao

“…In this paper, we investigate constraint qualifications and optimality conditions for multiobjective mathematical programming problems with vanishing constraints (MOMPVC) on Hadamard manifolds. …”
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Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System by Jamil Al-Hawasy, Haider H. Diwan, Waffa F. Keidan

“… This paper is concerned with the study of the constraints quaternary continuous classical optimal control vector problem (CQCCOCVP) with equality and inequality constraint (EINC) controlled by quaternary nonlinear elliptic partial differential equations (QNLEPDEqs).The existence theorem of a CQCCOCV of the constrained problem is stated and proved under suitable hypotheses (hyps). …”
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PROBLEMS OF FORMATION AND OPTIMIZATION OF RESOURCE PROVISION OF ENTERPRISES IN THE CONDITIONS OF FINANCIAL CONSTRAINTS by S. Demin, A. Zinchenko, L. Uglova

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New Safe Approximation of Ambiguous Probabilistic Constraints for Financial Optimization Problem by NingNing Du, Yan-Kui Liu, Ying Liu

“…In financial optimization problem, the optimal portfolios usually depend heavily on the distributions of uncertain return rates. …”
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A Conjugate Gradient Type Method for the Nonnegative Constraints Optimization Problems by Can Li

“…We are concerned with the nonnegative constraints optimization problems. It is well known that the conjugate gradient methods are efficient methods for solving large-scale unconstrained optimization problems due to their simplicity and low storage. …”
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Improved ant colony optimization algorithm for solving constraint satisfaction problem by HANGYong-gang Z, HANGSi-bo Z, UEQiu-shi X

Subjects: “…constraint satisfaction problems…”
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Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints by Guoquan Li, Yan Wang

“…Some necessary global optimality conditions and sufficient global optimality conditions for nonconvex minimization problems with a quadratic inequality constraint and a linear equality constraint are derived. …”
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An adapted Black Widow Optimization Algorithm for Financial Portfolio Optimization Problem with cardinalty and budget constraints by Rahenda Khodier, Ahmed Radi, Basel Ayman, Mohamed Gheith

“…Abstract Financial Portfolio Optimization Problem (FPOP) is a cornerstone in quantitative investing and financial engineering, focusing on optimizing assets allocation to balance risk and expected return, a concept evolving since Harry Markowitz’s 1952 Mean-Variance model. …”
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Optimal Consumption and Investment with Income Adjustment and Borrowing Constraints by Geonwoo Kim, Junkee Jeon

“…To solve this non-trivial and challenging problem, we derive the Hamilton–Jacobi–Bellman (HJB) equation with a gradient constraint using the dynamic programming principle (DPP). …”
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Improving Quantum Optimization Algorithms by Constraint Relaxation by Tomasz Pecyna, Rafał Różycki

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Learning Whale Optimization Algorithm for Open Vehicle Routing Problem with Loading Constraints by Nai K. Yu, Wen Jiang, Rong Hu, Bin Qian, Ling Wang

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LP Well-Posedness for Bilevel Vector Equilibrium and Optimization Problems with Equilibrium Constraints by Phan Quoc Khanh, Somyot Plubtieng, Kamonrat Sombut

“…The purpose of this paper is introduce several types of Levitin-Polyak well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints. Base on criterion and characterizations for these types of Levitin-Polyak well-posedness we argue on diameters and Kuratowski’s, Hausdorff’s, or Istrǎtescus measures of noncompactness of approximate solution sets under suitable conditions, and we prove the Levitin-Polyak well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints. …”
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Quaternary Boundary Optimal Control Problem for Quaternary Nonlinear Elliptic System with Constraints by Alaa S. Khneab, Jamil Amir Al-hawasy, Ion Chryssoverghi

“… Background: Boundary optimal control problems governed by nonlinear elliptic systems are complex, involving equality and inequality constraints. …”
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Constraints Optimal Control Governing by Triple Nonlinear Hyperbolic Boundary Value Problem by Jamil A. Ali Al-Hawasy, Lamyaa H. Ali

“…The focus of this work lies on proving the existence theorem of a unique state vector solution (Stvs) of the triple nonlinear hyperbolic boundary value problem (TNHBVP) when the classical continuous control vector (CCCVE) is fixed by using the Galerkin method (Galm), proving the existence theorem of a unique constraints classical continuous optimal control vector (CCCOCVE) with vector state constraints (equality EQVC and inequality INEQVC). …”
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Constraint Consensus Based Artificial Bee Colony Algorithm for Constrained Optimization Problems by Liling Sun, Yuhan Wu, Xiaodan Liang, Maowei He, Hanning Chen

“…Over the last few decades, evolutionary algorithms (EAs) have been widely adopted to solve complex optimization problems. However, EAs are powerless to challenge the constrained optimization problems (COPs) because they do not directly act to reduce constraint violations of constrained problems. …”
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The Constraint Function Response Shifting Scalar-Based Optimization Method for the Reliability-Based Dynamic Optimization Problem by Ping Qiao, Qi Zhang, Yizhong Wu

“…Specifically, the shift scalar CFRSS is calculated by the probability density function of the constraint function response and deducted for probabilistic constraints in the constraint function response space to move the violated constraints toward the reliable region, avoiding solving large-scale optimization problems in the control variable space. …”
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