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On necessary optimality conditions in vector optimization problems

https://doi.org/10.1007/bf00939770
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Necessary and sufficient conditions for local and global nondominated solutions in decision problems with multi-objectives
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Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
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Necessary conditions for optimality of nondifferentiable convex multiobjective programming
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Weak Pareto optimality of multiobjective problems in a locally convex linear topological space
inferredcites →https://doi.org/10.1007/bf00935364openalex-snapshot
Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space
inferredcites →https://doi.org/10.1007/bf00935888openalex-snapshot
Weak Pareto optimality of multiobjective problems in a locally convex linear topological space
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Theorems of the alternative and their applications in multiobjective optimization
inferredcites →https://doi.org/10.1016/0022-247x(80)90227-9openalex-snapshot
A general theory of necessary optimality conditions
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An induction theorem and general open mapping theorems
inferredcites →https://doi.org/10.1016/0022-247x(88)90077-7openalex-snapshot
An open mapping theorem for families of multifunctions
inferredcites →https://doi.org/10.1016/s0168-2024(09)x7002-5openalex-snapshot
Theory of Extremal Problems
inferredcites →https://doi.org/10.1017/cbo9780511574795.002openalex-snapshot
Calculus of Variations and Control Theory
inferredcites →https://doi.org/10.1070/rm1980v035n06abeh001973openalex-snapshot
LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
inferredcites →https://doi.org/10.1201/9781003035602-20openalex-snapshot
Optimal control problems
inferredcites →https://doi.org/10.1515/9781400870530openalex-snapshot
Optimization: A Theory of Necessary Conditions
inferredcites →https://doi.org/10.2307/2280756openalex-snapshot
Methods of Operations Research.
inferredcites →https://doi.org/10.4064/sm-77-2-111-114openalex-snapshot
Sufficient condition for Pareto optimization in Banach spaces

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A class of multiobjective control problems
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Nonlinear Multiobjective Programming
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Infinite-Horizon Theorems
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On Dynamic Multiple Criteria Decision Making Models: A Goal Programming Approach
inferred← citeshttps://doi.org/10.1007/bf00939804openalex-snapshot
On necessary and sufficient conditions in vector optimization
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Proper solutions of vector optimization problems
inferred← citeshttps://doi.org/10.1007/bf02192045openalex-snapshot
Invex-convexlike functions and duality
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Directionally differentiable multiobjective optimization involving discrete inclusions
inferred← citeshttps://doi.org/10.1007/bf02192569openalex-snapshot
Sufficient optimality conditions and duality in vector optimization with invex-convexlike functions
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A stochastic dynamic multiobjective model for sustainable decision making
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A Generalization of Mixed Problems with an Application to Multiobjective Optimal Control
inferred← citeshttps://doi.org/10.1007/s40324-023-00344-2openalex-snapshot
Set-valued parametric optimization problems with higher-order $$\rho $$-cone arcwise connectedness
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Second-Order Efficiency Conditions and Sensitivity of Efficient Points
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Derived Sets for Weak Multiobjective Optimization Problems with State and Control Variables
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Infinite horizon multiobjective optimal control problems in the discrete time case
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Necessary conditions of Pareto optimality for multiobjective optimal control problems under constraints
inferred← citeshttps://doi.org/10.1080/02331934.2023.2168871openalex-snapshot
Special issue dedicated to the 75th birthday of professor Phan Quoc Khanh
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Proper efficiency conditions and duality models for constrained multiobjective optimal control probelms containing arbitrary norms
inferred← citeshttps://doi.org/10.1137/1037043openalex-snapshot
A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
inferred← citeshttps://doi.org/10.19139/soic-2310-5070-1779openalex-snapshot
Optimality and Unified Duality for E-differentiable Vector Optimization Problems over Cones involving Generalized E-convexity
inferred← citeshttps://doi.org/10.22436/jnsa.012.11.06openalex-snapshot
E-optimality conditions and Wolfe E-duality for E-differentiable vector optimization problems with inequality and equality constraints
inferred← citeshttps://doi.org/10.5109/13498openalex-snapshot
ON PROPER-EFFICIENCY FOR NONSMOOTH MULTIOBJECTIVE OPTIMAL CONTROL PROBLEMS
inferred← citeshttps://doi.org/10.58250/jnanabha.2021.51101openalex-snapshot
PARAMETRIC SET-VALUED OPTIMIZATION PROBLEMS UNDER GENERALIZED CONE CONVEXITY
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