Concepedia

On Lagrance-Kuhn-Tucker Mulitipliers for Muliobjective Optimization Problems

Tijani Amahroq, A. Taa

Optimization · 1997 · 56 citations · 10 references

Concepts

Mathematical ProgrammingLarge-scale Global OptimizationEngineeringIndustrial EngineeringMuliobjective Optimization ProblemsNonlinear ProgrammingOptimization ProblemMultiobjective Optimization ProblemsScalarization TechniqueSystems EngineeringOptimallty ConditionsHybrid Optimization TechniqueConstrained OptimizationUnconstrained OptimizationApproximation TheoryEvolutionary Multimodal OptimizationOperations Research

Abstract

Optimallty conditions are established in terms of Lagrange-Fritz-John and Lagrange-Kuhn-Tucker multipliers for multiobjective optimization problems by scalarization technique

References

10

Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces

Jean-Baptiste Hiriart-Urruty · Mathematics of Operations Research · 1979 · 395 citations

Mathematical Programming, Conic Optimization, Banach Spaces +12

Approximate subdifferentials and applications 3: the metric theory

A. D. Ioffe · Mathematika · 1989 · 192 citations

Approximate Subdifferentials, Variational Analysis, Potential Theory +2

Optimality conditions for maximizations of set-valued functions

H. W. Corley · Journal of Optimization Theory and Applications · 1988 · 176 citations

Optimality Conditions, Optimization Problem, Extremal Set Theory +3

Differentiability of Relations and Differential Stability of Perturbed Optimization Problems

Jean‐Paul Penot · SIAM Journal on Control and Optimization · 1984 · 132 citations

Mathematical Programming, Perturbed Inequalities, Several New Concepts +13

Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space

M. Minami · Journal of Optimization Theory and Applications · 1983 · 79 citations

Mathematical Programming, Engineering, Banach Space +5