Optimality conditions for nonsmooth multiobjective bilevel optimization problems
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Publication:2177790
DOI10.1007/s10479-017-2734-6zbMath1439.49027OpenAlexW2777647696MaRDI QIDQ2177790
Publication date: 6 May 2020
Published in: Annals of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10479-017-2734-6
optimality conditioncoderivativelimiting subdifferentialKKT relaxationmultiobjective bilevel optimizationoperator constraint
Multi-objective and goal programming (90C29) Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45)
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Cites Work
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- Solving ill-posed bilevel programs
- Bilevel problems over polyhedra with extreme point optimal solutions
- Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
- Is bilevel programming a special case of a mathematical program with complementarity constraints?
- Lagrange multipliers for multiobjective programs with a general preference
- Multiobjective optimization problems with equilibrium constraints
- Multiobjective bilevel optimization
- Existence and boundedness of the Kuhn-Tucker multipliers in nonsmooth multiobjective optimization
- Practical bilevel optimization. Algorithms and applications
- Multiobjective optimization problem with variational inequality constraints
- Foundations of bilevel programming
- Bilevel road pricing: theoretical analysis and optimality conditions
- A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs
- Necessary optimality conditions and a new approach to multiobjective bilevel optimization problems
- New optimality conditions for the semivectorial bilevel optimization problem
- Optimization over the Pareto outcome set associated with a convex bi-objective optimization problem: theoretical results, deterministic algorithm and application to the stochastic case
- Finding robust global optimal values of bilevel polynomial programs with uncertain linear constraints
- Semivectorial bilevel optimization problem: penalty approach
- Necessary conditions in multiobjective optimization with equilibrium constraints
- An overview of bilevel optimization
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems
- Partial Second-Order Subdifferentials in Variational Analysis and Optimization
- Necessary Optimality Conditions for Multiobjective Bilevel Programs
- Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
- Variational Analysis
- Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
- Sensitivity Analysis for Two-Level Value Functions with Applications to Bilevel Programming
- Stability of Locally Optimal Solutions
- Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
- Necessary optimality conditions in pessimistic bilevel programming
- KKT Reformulation and Necessary Conditions for Optimality in Nonsmooth Bilevel Optimization
- Multicriteria Optimization
- On calculating the normal cone to a finite union of convex polyhedra†
- Convex Analysis
