Multiobjective optimization with least constraint violation: optimality conditions and exact penalization

DOI10.1007/s10898-022-01158-8zbMath1528.90184OpenAlexW4223998809MaRDI QIDQ6085748

Jia-wei Chen, Yu-Hong Dai

Publication date: 8 November 2023

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-022-01158-8

zbMATH Keywords

optimality conditionscalmnessexact penalizationinfeasibility conditionmultiobjective optimization with least constraint violation

Mathematics Subject Classification ID

Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46)

Cites Work

• Unnamed Item
• Trust region globalization strategy for the nonconvex unconstrained multiobjective optimization problem
• A primal-dual interior-point method capable of rapidly detecting infeasibility for nonlinear programs
• Constraint qualifications for nonsmooth mathematical programs with equilibrium constraints
• Calmness and exact penalization in vector optimization with cone constraints
• Optimality conditions for vector optimization problems
• Multiobjective programming and penalty functions
• Theory of multiobjective optimization
• Multiple reduced gradient method for multiobjective optimization problems
• On constraint qualifications and sensitivity analysis for general optimization problems via pseudo-Jacobians
• An infeasibility certificate for nonlinear programming based on Pareto criticality condition
• A projected gradient method for vector optimization problems
• Extension of Zoutendijk method for solving constrained multiobjective optimization problems
• Vector Optimization
• Infeasibility Detection and SQP Methods for Nonlinear Optimization
• A Sequential Quadratic Optimization Algorithm with Rapid Infeasibility Detection
• Calmness and Exact Penalization
• Newton's Method for Multiobjective Optimization
• Some continuity properties of polyhedral multifunctions
• An Exact Penalization Viewpoint of Constrained Optimization
• OPTIMALITY CONDITIONS AND APPROXIMATE OPTIMALITY CONDITIONS IN LOCALLY LIPSCHITZ VECTOR OPTIMIZATION
• Nonlinear Lagrangian for Multiobjective Optimization and Applications to Duality and Exact Penalization
• A Globally Convergent SQCQP Method for Multiobjective Optimization Problems
• Multicriteria Optimization
• A Unified Augmented Lagrangian Approach to Duality and Exact Penalization

This page was built for publication: Multiobjective optimization with least constraint violation: optimality conditions and exact penalization