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On the image of a constrained extremum problem and some applications to the existence of a minimum
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Some General Separation Theorems
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Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
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Connectedness of the set of nondominated outcomes in multicriteria optimization
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Multiplier rules and the separation of convex sets
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Perfect duality for convexlike programs
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An existence result for maximizations with respect to cones
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Some properties of cones in normed spaces and their application to investigating extremal problems
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Theorems of the alternative and optimality conditions
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Theorems of the alternative and optimality conditions
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Some topological properties in optimization theory
inferredcites →https://doi.org/10.1007/bf00940770openalex-snapshot
Regularity conditions for constrained extremum problems
inferredcites →https://doi.org/10.1007/bfb0006581openalex-snapshot
Optimality conditions for some nonconvex problems
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Mathematical Methods of Game and Economic Theory
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J. L. Kelley, I. Namioka and others, Linear Topological Spaces (University Series in Higher Mathematics, D. van Nostrand Co. Ltd., 1963)
inferredcites →https://doi.org/10.1080/00029890.1980.11995060openalex-snapshot
Modern Multiplier Rules
inferredcites →https://doi.org/10.1090/s0002-9947-1978-0506609-1openalex-snapshot
Existence Theorems for Pareto Optimization; Multivalued and Banach Space Valued Functionals
inferredcites →https://doi.org/10.1112/blms/13.4.381openalex-snapshot
VARIATIONAL INEQUALITIES AND COMPLEMENTARITY PROBLEMS
inferredcites →https://doi.org/10.1137/0134018openalex-snapshot
On Cone-Efficiency, Cone-Convexity and Cone-Compactness
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Necessary Conditions in Nonsmooth Optimization
inferredcites →https://doi.org/10.2307/3008903openalex-snapshot
Optimization Theory: The Finite Dimensional Case
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Conjugate Duality in Set-Valued Vector Optimization
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Theorems of the alternative and optimization; Vector optimization IMAGE SPACE APPROACH TO OPTIMIZATION
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Some Remarks on Minimum Principles
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Necessary Optimality Conditions via Image Problem
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Separation of Sets and Gap Functions for Quasi-Variational Inequalities
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Optimality Conditions and Image Space Analysis for Vector Optimization Problems
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General Optimality Conditions via a Separation Scheme
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Some topological properties in optimization theory
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Theorems of the alternative for multifunctions with applications to optimization: General results
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On a Lagrangian sufficient optimality condition
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Semidifferentiable functions and necessary optimality conditions
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An extension of the Hestenes necessary condition
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On some connections among variational inequalities, combinatorial and continuous optimization
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Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions
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Coercivity and image of constrained extremum problems
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Regularity conditions for constrained extremum problems via image space
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Separation of sets and Wolfe duality
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Some applications of the image space analysis to the duality theory for constrained extremum problems
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On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation
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Nonlinear Separation Approach to Constrained Extremum Problems
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Optimality Conditions for Generalized Ky Fan Quasi-Inequalities with Applications
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Unified Duality Theory for Constrained Extremum Problems. Part I: Image Space Analysis
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Image Convexity of Generalized Systems with Infinite-Dimensional Image and Applications
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Image Space Analysis to Lagrange-Type Duality for Constrained Vector Optimization Problems with Applications
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Constrained Extremum Problems and Image Space Analysis–Part I: Optimality Conditions
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Images and Existence of Constrained Scalar and Vector Extrema
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Proper or Weak Efficiency via Saddle Point Conditions in Cone-Constrained Nonconvex Vector Optimization Problems
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Fully Piecewise Linear Vector Optimization Problems
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On maximum and variational principles via image space analysis
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Nonlinear separation in the image space with applications to constrained optimization
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Theorems of the Alternative Revisited and Some Extensions of Yuan’s Lemma
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Nonlinear separation functions and constrained extremum problems
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Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities
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On Convex Generalized Systems
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On Classes of Generalized Convex Functions, Gordan–Farkas Type Theorems, and Lagrangian Duality
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Theorems of the Alternative and Optimality Conditions for Convexlike and General Convexlike Programming
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Nonlinear separation in the image space with applications to penalty methods
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Conic separation for vector optimization problems
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Image space approach and subdifferentials of integral functionals
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Gap functions and error bounds for weak vector variational inequalities
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