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Necessary optimality conditions and saddle points for approximate optimization in banach spaces

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

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Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings
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Introduction to the Theory of Nonlinear Optimization
inferredcites →https://doi.org/10.1007/978-3-642-02431-3openalex-snapshot
Variational Analysis
inferredcites →https://doi.org/10.1007/978-3-662-03271-8openalex-snapshot
Introduction to the Theory of Nonlinear Optimization
inferredcites →https://doi.org/10.1007/bf00940466openalex-snapshot
?-duality theorem of nondifferentiable nonconvex multiobjective programming
inferredcites →https://doi.org/10.1007/bf02592056openalex-snapshot
Penalty functions in ε-programming and ε-minimax problems
inferredcites →https://doi.org/10.1007/bf02594782openalex-snapshot
ε-Optimal solutions in nondifferentiable convex programming and some related questions
inferredcites →https://doi.org/10.1007/bfb0089089openalex-snapshot
Convex Functions, Monotone Operators and Differentiability
inferredcites →https://doi.org/10.1007/bfb0120986openalex-snapshot
Necessary conditions for ε-optimality
inferredcites →https://doi.org/10.1023/a:1017960629124openalex-snapshot
Approximate Optimal Solutions and Nonlinear Lagrangian Functions*
inferredcites →https://doi.org/10.1051/jphystap:019020010017801openalex-snapshot
Comptes rendus de l'Académie des Sciences
inferredcites →https://doi.org/10.1080/01630569408816574openalex-snapshot
∊ -gradients pour les ponctions localements lipschitziennes et applications
inferredcites →https://doi.org/10.1080/02331930108844524openalex-snapshot
An ε-lagrange multiplier rule for a mathematical programming problem on banacch spaces∗
inferredcites →https://doi.org/10.1090/s0002-9947-96-01543-7openalex-snapshot
Nonsmooth sequential analysis in Asplund spaces
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1137/s0363012900374816openalex-snapshot
Necessary Suboptimality and Optimality Conditions via Variational Principles

What points at this work

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

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A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization
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ε-Mixed type duality for nonconvex multiobjective programs with an infinite number of constraints
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Generalized $${\varepsilon }$$-quasi solutions of set optimization problems
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ε-Optimality and ε-Lagrangian Duality for a Nonconvex Programming Problem with an Infinite Number of Constraints
inferred← citeshttps://doi.org/10.1007/s10957-017-1199-8openalex-snapshot
Approximate Optimality and Approximate Duality for Quasi Approximate Solutions in Robust Convex Semidefinite Programs
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Robust optimality and duality for composite uncertain multiobjective optimization in Asplund spaces with its applications
inferred← citeshttps://doi.org/10.1007/s11590-011-0352-9openalex-snapshot
Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity
inferred← citeshttps://doi.org/10.1007/s11590-014-0780-4openalex-snapshot
Characterizations of the approximate solution sets of nonsmooth optimization problems and its applications
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On quasi $$\epsilon $$ ϵ -solution for robust convex optimization problems
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Optimality conditions for approximate proper solutions in multiobjective optimization with polyhedral cones
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A note on constraint qualification for saddle point conditions involving convex and linear affine functions
inferred← citeshttps://doi.org/10.1007/s40324-016-0063-3openalex-snapshot
Optimality conditions for approximate quasi efficiency in set-valued equilibrium problems
inferred← citeshttps://doi.org/10.1007/s40324-016-0099-4openalex-snapshot
Approximate quasi efficiency of set-valued optimization problems via weak subdifferential
inferred← citeshttps://doi.org/10.1016/j.jmaa.2011.12.050openalex-snapshot
Scalarization and saddle points of approximate proper solutions in nearly subconvexlike vector optimization problems
inferred← citeshttps://doi.org/10.1016/j.na.2010.02.012openalex-snapshot
Generalized -quasi-solutions in multiobjective optimization problems: Existence results and optimality conditions
inferred← citeshttps://doi.org/10.1080/01630560802099274openalex-snapshot
Two Types of Approximate Saddle Points
inferred← citeshttps://doi.org/10.1080/01630563.2019.1660891openalex-snapshot
Characterizations of Approximate Duality and Saddle Point Theorems for Nonsmooth Robust Vector Optimization
inferred← citeshttps://doi.org/10.1080/02331934.2019.1579212openalex-snapshot
On approximate solutions for nonsmooth robust multiobjective optimization problems
inferred← citeshttps://doi.org/10.1080/02331934.2021.1871730openalex-snapshot
Characterizations of robust ε -quasi optimal solutions for nonsmooth optimization problems with uncertain data
inferred← citeshttps://doi.org/10.1155/2011/175327openalex-snapshot
"Equation missing" <!-- No EquationSource Format="TEX", only image -->-Optimal Solutions in Nonconvex Semi-Infinite Programs with Support Functions
inferred← citeshttps://doi.org/10.11650/tjm/180603openalex-snapshot
An Approach to $\epsilon$-duality Theorems for Nonconvex Semi-infinite Multiobjective Optimization Problems
inferred← citeshttps://doi.org/10.11650/tjm/240705openalex-snapshot
Approximate Optimality Conditions for Nonsmooth Optimization Problems
inferred← citeshttps://doi.org/10.1201/b11156-14openalex-snapshot
Representation of the Feasible Set and KKT Conditions
inferred← citeshttps://doi.org/10.1360/ssm-2024-0250openalex-snapshot
Duality on approximate solutions of nonconvex vector optimization problems
inferred← citeshttps://doi.org/10.2298/fil2216615gopenalex-snapshot
Gerstewitz nonlinear scalar functional and the applications in vector optimization problems
inferred← citeshttps://doi.org/10.23952/jnva.7.2023.5.03openalex-snapshot
Further results on quasi efficient solutions in multiobjective optimization
inferred← citeshttps://doi.org/10.2478/candc-2025-0010openalex-snapshot
Optimality conditions for ε-weak local quasi-efficient solutions of D.C. vector optimization problems
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Lagrange multiplier rules for approximate solutions in vector optimization
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