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Optimality conditions in nonconical multiple-objective programming

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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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On the existence and nonexistence of Lagrange multipliers in Banach spaces
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The structure of admissible points with respect to cone dominance
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Optimization theory in linear spaces
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Maximal elements of acyclic relations on compact sets
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Dynamic programming in multiplicative lattices
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Proper efficiency and the theory of vector maximization
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Optimal rules for ordering uncertain prospects
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Nonlinear programming: theory and algorithms
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Optimality and efficiency I
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A general theory of extremals
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Optimization by Vector Space Methods
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Nonlinear Programming -- Theory and Algorithms
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Optimality and Efficiency
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Mathematical Statistics A Decision Theoretic Approach
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Necessary and sufficient conditions for differentiable nonscalar-valued functions to attain extrema
inferredcites →https://doi.org/10.1137/0130053openalex-snapshot
First Order Conditions for General Nonlinear Optimization
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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
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Newton’s Method for Convex Operators in Partially Ordered Spaces
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Preference Convex Unanimity in Multiple Criteria Decision Making
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

What points at this work

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

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Multicriteria efficiency with arbitrary finite sets and cyclic preferences
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Nonlinear Multiobjective Programming
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Theory of Vector Optimization
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Nonlinear Multiobjective Programming
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Brezis-Browder Principles and Applications
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Domination Structures and Nondominated Solutions
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Scalar and Vector Generalized Convexity
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Continuous Multiobjective Programming
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A Nonlinear Multi-Attribute Utility Theory
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Partial Preference Information and First Order Differential Optimality: An Illustration
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On Some Applications of Stochastic Dominance in Multiobjective Decision-Making
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On the Existence of Cone-Efficient Points
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Existence Results for Minimal Points
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Nonconical optimality conditions: Some additional results
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A survey of vector optimization in infinite-dimensional spaces, part 2
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Existence of maximal points with respect to ordered bipreference relations
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Experiments with an interactive paired comparison simplex method for molp problems
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On the notion of proper efficiency in vector optimization
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Extension of the Zorn lemma to general nontransitive binary relations
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Experiments with an interactive paired comparison simplex method for molp problems
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On existence of cone-maximal points in real topological linear spaces
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Approximation of nonconical preference relations in multiple-criteria decision problems
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Steepest ascent algorithms for nonconical multiple objective programming
inferred← citeshttps://doi.org/10.1016/0022-247x(86)90209-xopenalex-snapshot
Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions
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Parametrized multicriteria optimization; Order continuity of the marginal multifunctions
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On efficient sets in vector maximum problems — A brief survey
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Advancing equitability in multiobjective programming
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References
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Chapter X Multiple criteria decision making: Five basic concepts
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A note on convex cones in topological vector spaces
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Comparison of Existence Results for Efficient Points
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Existence of Efficient Points in Vector Optimization and Generalized Bishop–Phelps Theorem
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Convexity of the optimal multifunctions and its consequences in vector optimization
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On the existence of maximal elements for partial preorders
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Preference relations and Coradiants in ℝ n
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An exact interactive method for exploring the efficient facets of multiple objective linear programming problems with quasi-concave utility functions
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Concepts, Theory, and Techniques PRINCIPLES OF MULTIOBJECTIVE OPTIMIZATION*
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Differential Characterizations of Nonconical Dominance in Multiple Objective Decision Making
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Preference Convex Unanimity in Multiple Criteria Decision Making
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Partial Information, Dominance, and Potential Optimality in Multiattribute Utility Theory
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Updating, Upgrading, Refining, Calibration and Implementation of Trade-Off Analysis Methodology Developed for INDOT
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