On the public citation graph

Duality for nonlinear multiple-criteria optimization problems

0 signed · 98 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.

Claim with ORCID

Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.

See reference health

What this work says

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

inferredcites →https://doi.org/10.1002/zamm.19800600102openalex-snapshot

Strong Vector Minimization and Duality

inferredcites →https://doi.org/10.1007/978-3-642-46368-6_10openalex-snapshot

An Overview on Recent Results in MCP as Developed in Aachen, Germany

inferredcites →https://doi.org/10.1007/978-3-642-46368-6_12openalex-snapshot

Duality in Multiple Objective Linear Programming

inferredcites →https://doi.org/10.1007/978-3-663-12967-7openalex-snapshot

Unternehmensforschung

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/bf00933437openalex-snapshot

Duality theory in multiobjective programming

inferredcites →https://doi.org/10.1007/bf00933793openalex-snapshot

Maximal vectors and multi-objective optimization

inferredcites →https://doi.org/10.1007/bf00934453openalex-snapshot

The structure of admissible points with respect to cone dominance

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/bf01351377openalex-snapshot

Optimization theory in linear spaces

inferredcites →https://doi.org/10.1007/bf01580111openalex-snapshot

A revised simplex method for linear multiple objective programs

inferredcites →https://doi.org/10.1007/bf01584534openalex-snapshot

Geometry of optimality conditions and constraint qualifications

inferredcites →https://doi.org/10.1007/bf01584543openalex-snapshot

Algorithms for the vector maximization problem

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/bf01918249openalex-snapshot

Some duality theorems for the non-linear vector maximum problem

inferredcites →https://doi.org/10.1016/0022-247x(67)90025-xopenalex-snapshot

Constrained minimization under vector-valued criteria in finite dimensional spaces

inferredcites →https://doi.org/10.1016/0022-247x(68)90201-1openalex-snapshot

Proper efficiency and the theory of vector maximization

inferredcites →https://doi.org/10.1016/0022-247x(75)90022-0openalex-snapshot

A duality theorem for a convex programming problem in order complete vector lattices

inferredcites →https://doi.org/10.1016/0022-247x(75)90189-4openalex-snapshot

The set of all nondominated solutions in linear cases and a multicriteria simplex method

inferredcites →https://doi.org/10.1016/0022-247x(77)90283-9openalex-snapshot

The saddle point theorem of Kuhn and Tucker in ordered vector spaces

inferredcites →https://doi.org/10.1016/0022-247x(79)90128-8openalex-snapshot

Stability in multicriteria optimization

inferredcites →https://doi.org/10.1016/0022-247x(79)90143-4openalex-snapshot

Potential solutions of linear systems: The multi-criteria multiple constraint levels program

inferredcites →https://doi.org/10.1016/0022-247x(79)90226-9openalex-snapshot

An improved definition of proper efficiency for vector maximization with respect to cones

inferredcites →https://doi.org/10.1016/0040-1625(83)90021-5openalex-snapshot

TIMS Studies in the management sciences

inferredcites →https://doi.org/10.1016/0377-2217(78)90008-5openalex-snapshot

Generalization of Fenchel's duality theorem for convex vector optimization

inferredcites →https://doi.org/10.1016/s0377-2217(77)81008-4openalex-snapshot

A generalized saddlepoint theory

inferredcites →https://doi.org/10.1057/jors.1974.108openalex-snapshot

Duality, Indifference and Sensitivity Analysis inr Multiple Objective Linear Programming

inferredcites →https://doi.org/10.1057/jors.1981.14openalex-snapshot

Mathematical Programming: Structures and Algorithms

inferredcites →https://doi.org/10.1080/02331938008842650openalex-snapshot

The geometry of Pareto efficiency over cones

inferredcites →https://doi.org/10.1090/procopenalex-snapshot

Proceedings of the American Mathematical Society

inferredcites →https://doi.org/10.1090/s0002-9939-1977-0679534-8openalex-snapshot

Duality and Alternative in Multiobjective Optimization

inferredcites →https://doi.org/10.1093/comjnl/12.3.207-aopenalex-snapshot

Nonlinear Programming--Sequential Unconstrained Minimization Techniques

inferredcites →https://doi.org/10.1137/0130053openalex-snapshot

First Order Conditions for General Nonlinear Optimization

inferredcites →https://doi.org/10.1137/0132004openalex-snapshot

The Vector Maximization Problem: Proper Efficiency and Stability

inferredcites →https://doi.org/10.1137/0134018openalex-snapshot

On Cone-Efficiency, Cone-Convexity and Cone-Compactness

inferredcites →https://doi.org/10.1137/0315004openalex-snapshot

Proper Efficient Points for Maximizations with Respect to Cones

inferredcites →https://doi.org/10.1137/1.9781611971255openalex-snapshot

Nonlinear Programming

inferredcites →https://doi.org/10.1287/mnsc.22.6.652openalex-snapshot

An Interactive Programming Method for Solving the Multiple Criteria Problem

inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot

Convex Analysis

inferredcites →https://doi.org/10.1525/9780520411586openalex-snapshot

Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability

inferredcites →https://doi.org/10.2307/1907816openalex-snapshot

Activity Analysis of Production and Allocation

inferredcites →https://doi.org/10.2307/2283909openalex-snapshot

Nonlinear Programming.

inferredcites →https://doi.org/10.2307/2342801openalex-snapshot

Studies in Linear and Non-Linear Programming.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/9780470400531.eorms0810openalex-snapshot

Nonlinear Multiobjective Programming

inferred← citeshttps://doi.org/10.1006/jmaa.1996.0339openalex-snapshot

Sensitivity Analysis for Convex Multiobjective Programming in Abstract Spaces

inferred← citeshttps://doi.org/10.1006/jmaa.2000.7417openalex-snapshot

Duality in Nondifferentiable Vector Programming

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/10.1007/978-0-387-89552-9_7openalex-snapshot

Fundamentals of Multiobjective Optimization

inferred← citeshttps://doi.org/10.1007/978-1-4613-3285-5_6openalex-snapshot

Higher Order Convexity and Duality in Multiobjective Programming Problems

inferred← citeshttps://doi.org/10.1007/978-1-4684-8395-6_7openalex-snapshot

Domination Structures and Nondominated Solutions

inferred← citeshttps://doi.org/10.1007/978-3-642-45527-8_7openalex-snapshot

Multiple Objective Linear Programming: An Economist’s Perspective

inferred← citeshttps://doi.org/10.1007/978-3-642-46473-7_9openalex-snapshot

On Efficient Sets in Vector Maximum Problems — A Brief Survey

inferred← citeshttps://doi.org/10.1007/978-3-642-46536-9_5openalex-snapshot

Duality Theory in Vector Optimization: An Overview

inferred← citeshttps://doi.org/10.1007/978-3-642-46709-7_16openalex-snapshot

Duality in Multiobjective Fractional Programming

inferred← citeshttps://doi.org/10.1007/978-3-642-46709-7_17openalex-snapshot

An Approach to Lagrangian Duality in Vector Optimization

inferred← citeshttps://doi.org/10.1007/bf00935006openalex-snapshot

On duality theory in multiobjective programming

inferred← citeshttps://doi.org/10.1007/bf00938399openalex-snapshot

Geometric consideration of duality in vector optimization

inferred← citeshttps://doi.org/10.1007/bf02192032openalex-snapshot

Duality theory for preferences in multiobjective decisionmaking

inferred← citeshttps://doi.org/10.1007/bf02192203openalex-snapshot

Duality in nonlinear multiobjective programming using augmented Lagrangian functions

inferred← citeshttps://doi.org/10.1007/bf02591748openalex-snapshot

Vector maximisation and lagrange multipliers

inferred← citeshttps://doi.org/10.1007/bf02935737openalex-snapshot

Generalized invexity and duality in multiobjective nonlinear programming

inferred← citeshttps://doi.org/10.1007/bfb0121151openalex-snapshot

Continuity and differentiability properties of monotone real functions of several real variables

inferred← citeshttps://doi.org/10.1007/s10479-007-0186-0openalex-snapshot

A survey of recent developments in multiobjective optimization

inferred← citeshttps://doi.org/10.1007/s10957-011-9822-6openalex-snapshot

Symmetric Duality for Homogeneous Multiple-Objective Problems

inferred← citeshttps://doi.org/10.1007/s11424-011-8358-zopenalex-snapshot

Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions

inferred← citeshttps://doi.org/10.1007/s11590-010-0196-8openalex-snapshot

Nondifferentiable multiobjective second-order symmetric duality

inferred← citeshttps://doi.org/10.1007/s11590-019-01523-9openalex-snapshot

Optimality condition and quasi-conjugate duality with zero gap in nonconvex optimization

inferred← citeshttps://doi.org/10.1007/s40306-016-0182-zopenalex-snapshot

Conjugate Duality and Optimization over Weakly Efficient Set

inferred← citeshttps://doi.org/10.1016/0022-247x(86)90034-xopenalex-snapshot

A class of multiple-criteria fractional programming problems

inferred← citeshttps://doi.org/10.1016/0377-2217(86)90048-2openalex-snapshot

On efficient sets in vector maximum problems — A brief survey

inferred← citeshttps://doi.org/10.1016/0377-2217(93)90194-ropenalex-snapshot

Duality theory for infinite-dimensional multiobjective linear programming

inferred← citeshttps://doi.org/10.1016/b978-044450550-7/50006-5openalex-snapshot

Vector Optimization

inferred← citeshttps://doi.org/10.1016/j.jmaa.2010.10.041openalex-snapshot

Conjugate duality for vector-maximization problems

inferred← citeshttps://doi.org/10.1016/s0022-247x(02)00460-2openalex-snapshot

Optimality and duality in fractional multiple objective programming involving semilocally preinvex and related functions

inferred← citeshttps://doi.org/10.1016/s0076-5392(09)60314-3openalex-snapshot

References

inferred← citeshttps://doi.org/10.1017/s000497270000277xopenalex-snapshot

Generalised convexity and duality in multiple objective programming

inferred← citeshttps://doi.org/10.1017/s0004972700027441openalex-snapshot

A class of nonconvex functions and mathematical programming

inferred← citeshttps://doi.org/10.1017/s1446788700028937openalex-snapshot

Proper efficiency and duality for vector valued optimization problems

inferred← citeshttps://doi.org/10.1023/a:1012654128753openalex-snapshot

Duality and Exact Penalization for Vector Optimization via Augmented Lagrangian

inferred← citeshttps://doi.org/10.1051/ro/1994280302551openalex-snapshot

Sur la dualité en optimisation vectorielle convexe

inferred← citeshttps://doi.org/10.1080/01630568708816230openalex-snapshot

Weak minimization and duality

inferred← citeshttps://doi.org/10.1080/01630569208816480openalex-snapshot

Axiomatic approach to duality in optimization

inferred← citeshttps://doi.org/10.1080/02331930903500266openalex-snapshot

Higher order duality in multiobjective programming with cone constraints

inferred← citeshttps://doi.org/10.1080/02331938208842824openalex-snapshot

Bibliographic zur Vektoroptimierung -Theorie und Anwendungen (1. Fortsetzung)

inferred← citeshttps://doi.org/10.1080/02331938408842972openalex-snapshot

Dualité en Programmation linéaire Multicritère

inferred← citeshttps://doi.org/10.1080/02331939508844092openalex-snapshot

Proper efficiency conditions and duality for multiobjective programming problems involving semilocally invex functions

inferred← citeshttps://doi.org/10.1080/02331939608844179openalex-snapshot

Optimality conditions and duality in multiple objective programming involving semilocally convex and related functions

inferred← citeshttps://doi.org/10.1080/02522667.1986.10698836openalex-snapshot

Saddlepoint Theory for Nondifferentiable Multiobjective Fractional Programming

inferred← citeshttps://doi.org/10.1080/02522667.1986.10698859openalex-snapshot

A Dual For A Multiple Objective Fractional Programming Problem

inferred← citeshttps://doi.org/10.1080/02522667.1988.10698924openalex-snapshot

Duality Theory In Multiobjective Differentiable Programming

inferred← citeshttps://doi.org/10.1109/icamcs.net46018.2018.00034openalex-snapshot

Wolfe E-duality for E-differentiable E-invex Vector Optimization Problems with Inequality and Equality Constraints

inferred← citeshttps://doi.org/10.1155/2012/535416openalex-snapshot

Minimization of Vectors of Curvilinear Functionals on Second‐Order Jet Bundle: Dual Program Theory

inferred← citeshttps://doi.org/10.1155/2012/589694openalex-snapshot

Duality for Multitime Multiobjective Ratio Variational Problems on First Order Jet Bundle

inferred← citeshttps://doi.org/10.1201/9781420018868.bmattopenalex-snapshot

References

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/10.4171/zaa/205openalex-snapshot

Über die Skalarisierung und Dualisierung von Vektoroptimierungsproblemen

Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.