On directionally differentiable multiobjective programming problems with vanishing constraints
DOI10.1007/s10479-023-05368-5zbMath1518.90100MaRDI QIDQ6179215
Publication date: 5 September 2023
Published in: Annals of Operations Research (Search for Journal in Brave)
convex functionPareto solutionKarush-Kuhn-Tucker necessary optimality conditionsWolfe vector dualdirectionally differentiable multiobjective programming problems with vanishing constraints
Convex programming (90C25) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Optimality conditions for free problems in two or more independent variables (49K10)
Cites Work
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- Multiobjective programming under \((\varphi,d)\)-V-type I univexity
- On duality for mathematical programs with vanishing constraints
- Mathematical programs with vanishing constraints: critical point theory
- Optimality and duality in nondifferentiable and multiobjective programming under generalized \(d\)-invexity
- Some nondifferentiable multiobjective programming problems
- Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications
- First- and second-order optimality conditions for mathematical programs with vanishing constraints.
- Optimality conditions and duality for nondifferentiable multiobjective programming problems involving \(d\)-\(r\)-type I functions
- Mathematical programs with vanishing constraints: Optimality conditions, sensitivity, and a relaxation method
- Nondifferentiable multiobjective programming under generalized \(d_I\)-invexity
- \(D\)-invexity and optimality conditions
- On constraint qualification in multiobjective optimization problems: Semidifferentiable case
- Optimality conditions for directionally differentiable multi-objective programming problems
- On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints
- Notes on convergence properties for a smoothing-regularization approach to mathematical programs with vanishing constraints
- Duality and a characterization of pseudoinvexity for Pareto and weak Pareto solutions in nondifferentiable multiobjective programming
- Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with vanishing constraints
- Optimality conditions and Mond-Weir duality for a class of differentiable semi-infinite multiobjective programming problems with vanishing constraints
- New dualities for mathematical programs with vanishing constraints
- Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications
- A smoothing-regularization approach to mathematical programs with vanishing constraints
- Enhanced Fritz John stationarity, new constraint qualifications and local error bound for mathematical programs with vanishing constraints
- Mathematical programs with vanishing constraints: a new regularization approach with strong convergence properties
- On Constraint Qualifications for Multiobjective Optimization Problems with Vanishing Constraints
- On the Abadie and Guignard constraint qualifications for Mathematical Programmes with Vanishing Constraints
- Mathematical programs with vanishing constraints: constraint qualifications, their applications, and a new regularization method
- Convex Analysis
- Multiobjective programming under \(d\)-invexity
- Finite dimensional convexity and optimization
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