On weak and strong Kuhn-Tucker conditions for smooth multiobjective optimization
From MaRDI portal
Publication:1935289
DOI10.1007/s10957-012-0078-6zbMath1270.90058OpenAlexW2048057532WikidataQ58048439 ScholiaQ58048439MaRDI QIDQ1935289
M. M. Rizvi, Regina Sandra Burachik
Publication date: 14 February 2013
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-012-0078-6
regularity conditionsmultiobjective optimizationoptimality conditions for efficient and Geoffrion-properly efficient solutionweak and strong Kuhn-Tucker conditions
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)
Related Items (25)
On Abadie constraint qualification for multiobjective optimization problems ⋮ A note on second-order Karush–Kuhn–Tucker necessary optimality conditions for smooth vector optimization problems ⋮ First-order necessary conditions in locally Lipschitz multiobjective optimization ⋮ Optimality conditions for efficiency in locally Lipschitz vector equilibrium problem with constraints in terms of Michel-Penot's directional derivatives ⋮ Strong Karush-Kuhn-Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming ⋮ Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming ⋮ Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions ⋮ New higher-order strong Karush-Kuhn-Tucker conditions for proper solutions in nonsmooth optimization ⋮ Integral Global Optimality Conditions and an Algorithm for Multiobjective Problems ⋮ Strong and weak conditions of regularity and optimality ⋮ Separation functions and optimality conditions in vector optimization ⋮ Dini and Hadamard directional derivatives in multiobjective optimization: an overview of some results ⋮ Second-order strong Karush/Kuhn-Tucker conditions for proper efficiencies in multiobjective optimization ⋮ On optimality conditions and duality for multiobjective optimization with equilibrium constraints ⋮ New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization ⋮ Optimality conditions for approximate proper solutions in multiobjective optimization with polyhedral cones ⋮ Some kind of Pareto stationarity for multiobjective problems with equilibrium constraints ⋮ Proper efficiency and proper Karush-Kuhn-Tucker conditions for smooth multiobjective optimization problems ⋮ Constraint qualifications and proper Pareto optimality conditions for multiobjective problems with equilibrium constraints ⋮ On the Fritz John saddle point problem for differentiable multiobjective optimization ⋮ Characterizations of efficient and weakly efficient points in nonconvex vector optimization ⋮ Strong second-order Karush–Kuhn–Tucker optimality conditions for vector optimization ⋮ Second-order optimality conditions in locally Lipschitz inequality-constrained multiobjective optimization ⋮ Constraint qualifications in nonsmooth multiobjective optimization problem ⋮ On Tucker-type alternative theorems and necessary optimality conditions for nonsmooth multiobjective optimization
Cites Work
- Strong Kuhn-Tucker conditions and constraint qualifications in locally Lipschitz multiobjective optimization problems
- Stronger Kuhn-Tucker type conditions in nonsmooth multiobjective optimization: Locally Lipschitz case
- Regularity conditions in differentiable vector optimization revisited
- Efficiency and proper efficiency in vector maximization with respect to cones
- Optimality conditions in multiobjective differentiable programming
- An improved definition of proper efficiency for vector maximization with respect to cones
- Regularity conditions for the linear separation of sets
- On constraint qualification in multiobjective optimization problems: Semidifferentiable case
- Regularity conditions in vector optimization
- Constrained qualifications in multiobjective optimization problems: Differentiable case
- Concepts of proper efficiency
- Proper efficiency and the theory of vector maximization
- On the cones of tangents with applications to mathematical programming
- The Vector Maximization Problem: Proper Efficiency and Stability
- Proper Efficient Points for Maximizations with Respect to Cones
- Regularity Conditions and Optimality in Vector Optimization
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On weak and strong Kuhn-Tucker conditions for smooth multiobjective optimization
