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Geometric consideration of duality in vector optimization

https://doi.org/10.1007/bf00938399
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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-46368-6_12openalex-snapshot
Duality in Multiple Objective Linear Programming
inferredcites →https://doi.org/10.1007/bf00932614openalex-snapshot
Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
inferredcites →https://doi.org/10.1007/bf00932907openalex-snapshot
Connectedness of the set of nondominated outcomes in multicriteria optimization
inferredcites →https://doi.org/10.1007/bf00933437openalex-snapshot
Duality theory in multiobjective programming
inferredcites →https://doi.org/10.1007/bf00934473openalex-snapshot
Conjugate maps and duality in multiobjective optimization
inferredcites →https://doi.org/10.1007/bf00934908openalex-snapshot
Duality for nonlinear multiple-criteria optimization problems
inferredcites →https://doi.org/10.1007/bf01350314openalex-snapshot
Optimization theory in linear spaces
inferredcites →https://doi.org/10.1007/bf01350322openalex-snapshot
Optimization theory in linear spaces. I
inferredcites →https://doi.org/10.1007/bf01917642openalex-snapshot
On some relations between a dual pair of multiple objective linear programs
inferredcites →https://doi.org/10.1007/bf02594784openalex-snapshot
Duality in vector optimization
inferredcites →https://doi.org/10.1016/0022-247x(81)90188-8openalex-snapshot
Duality theory for maximizations with respect to cones
inferredcites →https://doi.org/10.1016/s0377-2217(77)81008-4openalex-snapshot
A generalized saddlepoint theory
inferredcites →https://doi.org/10.1057/jors.1979.63openalex-snapshot
Multiple Criteria Problem Solving
inferredcites →https://doi.org/10.1080/02331938008842630openalex-snapshot
Supremal points and generalized duality
inferredcites →https://doi.org/10.1109/cdc.1978.268059openalex-snapshot
On subjective programming in multi-criterion decision making
inferredcites →https://doi.org/10.1137/0134018openalex-snapshot
On Cone-Efficiency, Cone-Convexity and Cone-Compactness
inferredcites →https://doi.org/10.1287/moor.6.2.159openalex-snapshot
Duality for Multiple Objective Convex Programs
inferredcites →https://doi.org/10.1287/moor.7.1.95openalex-snapshot
A Duality Theorem in Multiobjective Nonlinear Programming
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis

What points at this work

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

inferred← citeshttps://doi.org/10.1002/(sici)1099-1360(199609)5:3<218::aid-mcda86>3.0.co;2-vopenalex-snapshot
Some Remarks on Dualization in Vector Optimization
inferred← citeshttps://doi.org/10.1007/0-306-48107-3_1openalex-snapshot
Theory of Vector Optimization
inferred← citeshttps://doi.org/10.1007/0-306-48107-3_2openalex-snapshot
Nonlinear Multiobjective Programming
inferred← citeshttps://doi.org/10.1007/0-306-48332-7_314openalex-snapshot
Multi-Objective Optimization: Lagrange Duality
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_425openalex-snapshot
Multi-objective Optimization: Lagrange Duality
inferred← citeshttps://doi.org/10.1007/978-1-4615-5025-9_3openalex-snapshot
Duality in Multi-Objective Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4684-8395-6_7openalex-snapshot
Domination Structures and Nondominated Solutions
inferred← citeshttps://doi.org/10.1007/978-3-642-46536-9_5openalex-snapshot
Duality Theory in Vector Optimization: An Overview
inferred← citeshttps://doi.org/10.1007/978-3-642-46607-6_41openalex-snapshot
Duality and Decision Support for LVOPs
inferred← citeshttps://doi.org/10.1007/978-3-642-46607-6_45openalex-snapshot
Epsilon Solutions and Duality in Vector Optimization
inferred← citeshttps://doi.org/10.1007/978-3-642-46618-2_10openalex-snapshot
Duality in Partially Ordered Sets
inferred← citeshttps://doi.org/10.1007/978-3-662-02473-7_6openalex-snapshot
Multicriterial duality, examples and advances
inferred← citeshttps://doi.org/10.1007/978-3-7091-2822-0_5openalex-snapshot
Lagrange Duality and Its Geometric Interpretation
inferred← citeshttps://doi.org/10.1007/bf01217689openalex-snapshot
Upper-semi-continuity and cone-concavity of multi-valued vector functions in a duality theory for vector optimization
inferred← citeshttps://doi.org/10.1007/bf02191762openalex-snapshot
Lagrange Multipliers and saddle points in multiobjective programming
inferred← citeshttps://doi.org/10.1007/s11590-012-0526-0openalex-snapshot
Sensitivity analysis for a Lagrange dual problem to a vector optimization problem
inferred← citeshttps://doi.org/10.1016/s0076-5392(09)60314-3openalex-snapshot
References
inferred← citeshttps://doi.org/10.1051/ro/1994280302551openalex-snapshot
Sur la dualité en optimisation vectorielle convexe
inferred← citeshttps://doi.org/10.1051/ro/1994280403991openalex-snapshot
Fritz John's type conditions and associated duality forms in convex non differentiable vector-optimization
inferred← citeshttps://doi.org/10.1080/01630569208816480openalex-snapshot
Axiomatic approach to duality in optimization
inferred← citeshttps://doi.org/10.1080/02331930410001715514openalex-snapshot
An analysis of some dual problems in multiobjective optimization (I)
inferred← citeshttps://doi.org/10.1080/02331930410001715523openalex-snapshot
An analysis of some dual problems in multiobjective optimization (II)
inferred← citeshttps://doi.org/10.1080/02331939608844241openalex-snapshot
Lagrange multipliers saddle points and scalarizations in composite multiobjective nonsmooth programming
inferred← citeshttps://doi.org/10.1142/9789812775368_0020openalex-snapshot
Duality for the Multiobjective Location Model Involving Sets as Existing Facilities
inferred← citeshttps://doi.org/10.1142/9789812792907_0005openalex-snapshot
VECTOR-VALUED MINIMAX THEOREMS IN MULTICRITERIA GAMES
inferred← citeshttps://doi.org/10.2478/s11533-007-0019-zopenalex-snapshot
Comparison between different duals in multiobjective fractional programming
inferred← citeshttps://doi.org/10.3968/j.mse.1913035x20070101.004openalex-snapshot
(H,Ω) CONJUGATE MAPS AND (H,Ω) DUALITY THEORY IN MULTIOBJECTIVE OPTIMIZATION
inferred← citeshttps://doi.org/10.70675/34042188zf9f1z42f1z990fz8f7520a16f2aopenalex-snapshot
Multiobjective optimization for complex systems
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