Approximate Karush-Kuhn-Tucker condition for multi-objective optimistic bilevel programming problems
From MaRDI portal
Publication:6086968
DOI10.3934/jimo.2023077MaRDI QIDQ6086968
Jinman Lv, Zhong-Ping Wan, Zhen-hua Peng
Publication date: 11 December 2023
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
multi-objective optimizationoptimal value functionKKT conditionsapproximate KKT conditionsbilevel progamming
Nonlinear programming (90C30) Hierarchical games (including Stackelberg games) (91A65) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) General equilibrium theory (91B50)
Related Items
Cites Work
- On approximate KKT condition and its extension to continuous variational inequalities
- Is bilevel programming a special case of a mathematical program with complementarity constraints?
- Approximate Karush-Kuhn-Tucker condition in multiobjective optimization
- Linear bilevel programs with multiple objectives at the upper level
- An approximate strong KKT condition for multiobjective optimization
- A modified relaxation scheme for mathematical programs with complementarity constraints
- Necessary optimality conditions and a new approach to multiobjective bilevel optimization problems
- The bilevel programming problem: reformulations, constraint qualifications and optimality conditions
- New optimality conditions for the semivectorial bilevel optimization problem
- Approximate KKT points and a proximity measure for termination
- Hybrid approach with active set identification for mathematical programs with complementarity constraints
- Necessary Optimality Conditions for Optimal Control Problems with Equilibrium Constraints
- Mathematical Programs with Equilibrium Constraints: Enhanced Fritz John-conditions, New Constraint Qualifications, and Improved Exact Penalty Results
- Necessary Optimality Conditions for Multiobjective Bilevel Programs
- Optimization and nonsmooth analysis
- Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
- Variational Analysis
- Optimality conditions for bilevel programming problems
- Bilevel Programming Problems
- New Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic Consequences
- Solution of bilevel optimization problems using the KKT approach
- Some kind of Pareto stationarity for multiobjective problems with equilibrium constraints
- New necessary optimality conditions in optimistic bilevel programming
- Practical Augmented Lagrangian Methods for Constrained Optimization
- Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences
