On necessary optimality conditions in vector optimization problems
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Publication:1090629
DOI10.1007/BF00939770zbMath0621.90084MaRDI QIDQ1090629
Publication date: 1988
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
state constraintsvector optimizationBanach spacesPareto optimalitynecessary conditionsPontryagin maximum principleseparation theoremsSlater optimalitymultiobjective controllocally convex problemsmultiplier rule type
Related Items (15)
Special issue dedicated to the 75th birthday of professor Phan Quoc Khanh ⋮ Sufficient optimality conditions and duality in vector optimization with invex-convexlike functions ⋮ Invex-convexlike functions and duality ⋮ On necessary and sufficient conditions in vector optimization ⋮ Directionally differentiable multiobjective optimization involving discrete inclusions ⋮ Derived sets for weak multiobjective optimization problems with state and control variables ⋮ PARAMETRIC SET-VALUED OPTIMIZATION PROBLEMS UNDER GENERALIZED CONE CONVEXITY ⋮ Necessary conditions of Pareto optimality for multiobjective optimal control problems under constraints ⋮ A stochastic dynamic multiobjective model for sustainable decision making ⋮ Infinite-horizon multiobjective optimal control problems for bounded processes ⋮ A generalization of mixed problems with an application to multiobjective optimal control ⋮ Proper efficiency conditions and duality models for constrained multiobjective optimal control probelms containing arbitrary norms ⋮ Infinite horizon multiobjective optimal control problems in the discrete time case ⋮ Second-order efficiency conditions and sensitivity of efficient points ⋮ Proper solutions of vector optimization problems
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- An open mapping theorem for families of multifunctions
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- Sufficient condition for Pareto optimization in Banach spaces
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