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A saddle-point characterization of Pareto optima

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What this work says

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

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Multicriteria Decision Making and Differential Games
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Mathematical Optimization
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Characterizing optimality in mathematical programming models
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Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
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A simplified test for optimality
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Approximate saddle-point theorems in vector optimization
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A simple constraint qualification in convex programming
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Proper efficiency and the theory of vector maximization
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Global analysis and economics III
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Global analysis and economics VI
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Vector-Valued Optimization Problems In Control Theory
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Optimality in Parametric Systems
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Management Models and Industrial Applications of Linear Programming
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An Extension of the Basic Theorems of Classical Welfare Economics
inferredcites →https://doi.org/10.21136/am.1984.104104openalex-snapshot
Two characterizations of Pareto minima in convex multicriteria optimization
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Theory of Value: An Axiomatic Analysis of Economic Equilibrium
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Necessary and Sufficient Conditions for a Pareto Optimum in Convex Programming
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Mathematical Methods and Theory in Games, Programming, and Economics.
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Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability.

What points at this work

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

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Nonlinear Multiobjective Programming
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Dual conditions characterizing optimality for convex multi-objective programs
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On First Order Optimality Conditions for Vector Optimization
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Saddle Points and Pareto Points in Multiple Objective Programming
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Characterizing strict efficiency for convex multiobjective programming problems
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Multiobjective DC programs with infinite convex constraints
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A note on constraint qualification for saddle point conditions involving convex and linear affine functions
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A survey on pareto front learning for multi-objective optimization
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Design optimisation of purge flow path in axial aero gas turbine engines using machine learning algorithm
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Balance set and Pareto solutions in linear space with application to ongoing optimal resource allocation, investment planning, production, and control problems with multiple objectives
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Set contraction algorithm for computingpareto set in nonconvex nonsmooth multiobjective optimization
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Goal-optimal pareto solution of multiobjective linear programs and its computing with standard single objective LP software
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Duality of Nonscalarized Multiobjective Linear Programs: Dual Balance, Level Sets, and Dual Clusters of Optimal Vectors
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Saddle point criteria and Wolfe duality in nonsmooth (Φ, ρ)-invex vector optimization problems with inequality and equality constraints
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Higher Order Efficiency, Saddle Point Optimality, and Duality for Vector Optimization Problems
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Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization
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SADDLE PAIRS OF VECTOR-VALUED FUNCTIONS AND CONE-EXTREME POINTS
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Pareto Solutions vs Dataset Optima: Concepts and Methods for Optimizing Competing Objectives with Constraints in Retrieval
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LFS functions in multi-objective programming
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Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems
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Symmetry in Mathematical Analysis and Functional Analysis
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Multiobjective Convex Optimization in Real Banach Space
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E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints
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“Near” Weighted Utilitarian Characterizations of Pareto Optima
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Scalable Unidirectional Pareto Optimality for Multi-Task Learning with Constraints
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