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Continuous dependence of solutions on a parameter in a scalarization method

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4684-9369-6openalex-snapshot
Geometric Functional Analysis and its Applications
inferredcites →https://doi.org/10.1007/978-1-84882-491-1_18openalex-snapshot
Optimization Theory and Algorithms
inferredcites →https://doi.org/10.1007/978-3-0348-6328-5openalex-snapshot
Non-Linear Parametric Optimization
inferredcites →https://doi.org/10.1007/978-3-662-12603-5openalex-snapshot
Nondifferentiable Optimization: Motivations and Applications
inferredcites →https://doi.org/10.1007/978-3-662-12603-5_6openalex-snapshot
Lipschitzian Stability in Optimization: The Role of Nonsmooth Analysis
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/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/bf00934564openalex-snapshot
Scalarizing vector optimization problems
inferredcites →https://doi.org/10.1007/bf01304771openalex-snapshot
Semi-continuous mappings in general topology
inferredcites →https://doi.org/10.1007/bf01583782openalex-snapshot
Existence and characterization of efficient decisions with respect to cones
inferredcites →https://doi.org/10.1007/bf02592221openalex-snapshot
Scalarization in vector optimization
inferredcites →https://doi.org/10.1016/0022-247x(78)90198-1openalex-snapshot
A characterization of semicontinuity-preserving multifunctions
inferredcites →https://doi.org/10.1016/0022-247x(83)90184-1openalex-snapshot
Compact nets, filters, and relations
inferredcites →https://doi.org/10.1016/0022-247x(86)90209-xopenalex-snapshot
Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions
inferredcites →https://doi.org/10.1137/0134018openalex-snapshot
On Cone-Efficiency, Cone-Convexity and Cone-Compactness
inferredcites →https://doi.org/10.1137/1015073openalex-snapshot
Point-to-Set Maps in Mathematical Programming
inferredcites →https://doi.org/10.1515/9783112706916openalex-snapshot
Non-Linear Parametric Optimization

What points at this work

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

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/10.1007/978-3-642-54283-1_1openalex-snapshot
Variable Ordering Structures
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_10openalex-snapshot
Outlook and Further Application Areas
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_2openalex-snapshot
Optimality Concepts and Their Characterization
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_3openalex-snapshot
Cone-Valued Maps
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_4openalex-snapshot
Linear Scalarizations
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_5openalex-snapshot
Nonlinear Scalarizations
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_6openalex-snapshot
Scalarizations for Variable Orderings Given by Bishop-Phelps Cones
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_7openalex-snapshot
Optimality Conditions for Vector Optimization Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_8openalex-snapshot
Duality Results
inferred← citeshttps://doi.org/10.1007/978-3-642-54283-1_9openalex-snapshot
Numerical Methods
inferred← citeshttps://doi.org/10.1007/bf01719703openalex-snapshot
Stability results for approximately efficient solutions
inferred← citeshttps://doi.org/10.1007/bf02192533openalex-snapshot
On variational principles, level sets, well-posedness, and ∈-solutions in vector optimization
inferred← citeshttps://doi.org/10.1007/s10013-015-0144-0openalex-snapshot
The Adaptive Parameter Control Method and Linear Vector Optimization
inferred← citeshttps://doi.org/10.1007/s10589-007-9155-4openalex-snapshot
Scalarizations for adaptively solving multi-objective optimization problems
inferred← citeshttps://doi.org/10.1007/s10957-013-0294-8openalex-snapshot
The Pascoletti–Serafini Scalarization Scheme and Linear Vector Optimization
inferred← citeshttps://doi.org/10.1007/s10957-018-1289-2openalex-snapshot
A Revised Pascoletti–Serafini Scalarization Method for Multiobjective Optimization Problems
inferred← citeshttps://doi.org/10.1007/s10957-021-01841-yopenalex-snapshot
An Analytical Study in Multi-physics and Multi-criteria Shape Optimization
inferred← citeshttps://doi.org/10.1017/s1446788700028639openalex-snapshot
Lipschitz and differentiable dependence of solutions on a parameter in a scalarization method
inferred← citeshttps://doi.org/10.1080/02331934.2017.1399393openalex-snapshot
Minimization of Gerstewitz functionals extending a scalarization by Pascoletti and Serafini
inferred← citeshttps://doi.org/10.23952/jnva.7.2023.5.11openalex-snapshot
Weak separation functions constructed by Gerstewitz and topical functions with applications in conjugate duality
inferred← citeshttps://doi.org/10.48550/arxiv.1704.08632openalex-snapshot
Minimizers of Gerstewitz functionals
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