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On the Stability of the Feasible Set in Optimization Problems

https://doi.org/10.1137/090746331
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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-31246-3openalex-snapshot
Variational Analysis and Generalized Differentiation II
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Geometric Functional Analysis and its Applications
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On Stability and Deformation in Semi-Infinite Optimization
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Regularity and Stability in Nonlinear Semi-Infinite Optimization
inferredcites →https://doi.org/10.1007/978-1-4757-3200-9openalex-snapshot
Abstract Convexity and Global Optimization
inferredcites →https://doi.org/10.1007/978-1-4757-3403-4_5openalex-snapshot
Stability of the Feasible Set Mapping in Convex Semi-Infinite Programming
inferredcites →https://doi.org/10.1007/978-3-0348-6328-5openalex-snapshot
Non-Linear Parametric Optimization
inferredcites →https://doi.org/10.1007/978-3-662-03961-8openalex-snapshot
Infinite Dimensional Analysis: A Hitchhiker's Guide
inferredcites →https://doi.org/10.1007/bf00933851openalex-snapshot
Stability theorems for infinitely constrained mathematical programs
inferredcites →https://doi.org/10.1007/bf00939841openalex-snapshot
Semi-infinite optimization: Structure and stability of the feasible set
inferredcites →https://doi.org/10.1007/bf00940493openalex-snapshot
Infinite-dimensional convex programming with applications to constrained approximation
inferredcites →https://doi.org/10.1007/bf01262931openalex-snapshot
On functions whose local minima are global
inferredcites →https://doi.org/10.1007/bfb0006502openalex-snapshot
Semi-infinite programming: Conditions of optimality and applications
inferredcites →https://doi.org/10.1007/s00186-005-0030-8openalex-snapshot
On the stability of linear systems with an exact constraint set
inferredcites →https://doi.org/10.1007/s10107-005-0618-zopenalex-snapshot
Metric regularity of semi-infinite constraint systems
inferredcites →https://doi.org/10.1007/s11228-007-0048-6openalex-snapshot
Stability of the Feasible Set Mapping of Linear Systems with an Exact Constraint Set
inferredcites →https://doi.org/10.1016/0022-247x(88)90032-7openalex-snapshot
A topological property of limes-arcwise strictly quasiconvex functions
inferredcites →https://doi.org/10.1016/j.jmaa.2005.01.003openalex-snapshot
On the stability of closed-convex-valued mappings and the associated boundaries
inferredcites →https://doi.org/10.1016/j.jmaa.2008.01.021openalex-snapshot
Regularity modulus of arbitrarily perturbed linear inequality systems
inferredcites →https://doi.org/10.1023/a:1008234910469openalex-snapshot
On a Class of Functionals Whose Local Minima are Global
inferredcites →https://doi.org/10.1023/a:1020692709757openalex-snapshot
Upper Semicontinuity of the Feasible Set Mapping for Linear Inequality Systems
inferredcites →https://doi.org/10.1023/a:1021744309992openalex-snapshot
Subvexormal Functions and Subvex Functions
inferredcites →https://doi.org/10.1023/a:1022606002804openalex-snapshot
Asymptotic Dual Conditions Characterizing Optimality for Infinite Convex Programs
inferredcites →https://doi.org/10.1023/a:1022950908783openalex-snapshot
On the Stability of the Boundary of the Feasible Set in Linear Optimization
inferredcites →https://doi.org/10.1051/cocv:2007027openalex-snapshot
New Farkas-type constraint qualifications in convex infinite programming
inferredcites →https://doi.org/10.1080/01630569808816874openalex-snapshot
On the stability of infinite-dimensional linear inequality systems
inferredcites →https://doi.org/10.1080/02331930902945082openalex-snapshot
Generalized Moreau–Rockafellar results for composed convex functions
inferredcites →https://doi.org/10.1080/023319340310001637387openalex-snapshot
Stability in convex semi-infinite programming and rates of convergence of optimal solutions of discretized finite subproblems
inferredcites →https://doi.org/10.1080/02331937708842403openalex-snapshot
Stability property of a system of inequalities
inferredcites →https://doi.org/10.1081/nfa-200052006openalex-snapshot
STABILITY OF SEMI-INFINITE INEQUALITY SYSTEMS INVOLVING MIN-TYPE FUNCTIONS
inferredcites →https://doi.org/10.1137/040613238openalex-snapshot
Strong CHIP for Infinite System of Closed Convex Sets in Normed Linear Spaces
inferredcites →https://doi.org/10.1137/060652087openalex-snapshot
The SECQ, Linear Regularity, and the Strong CHIP for an Infinite System of Closed Convex Sets in Normed Linear Spaces
inferredcites →https://doi.org/10.1137/060676982openalex-snapshot
Constraint Qualifications for Convex Inequality Systems with Applications in Constrained Optimization
inferredcites →https://doi.org/10.1137/07068432xopenalex-snapshot
Regularity Conditions via Quasi-Relative Interior in Convex Programming
inferredcites →https://doi.org/10.1137/0712056openalex-snapshot
Stability Theory for Systems of Inequalities. Part I: Linear Systems
inferredcites →https://doi.org/10.1137/0804036openalex-snapshot
One-Parametric Semi-Infinite Optimization: On the Stability of the Feasible Set
inferredcites →https://doi.org/10.1137/080739124openalex-snapshot
Constraint Qualifications for Extended Farkas's Lemmas and Lagrangian Dualities in Convex Infinite Programming
inferredcites →https://doi.org/10.1137/09076595xopenalex-snapshot
Variational Analysis in Semi-Infinite and Infinite Programming, II: Necessary Optimality Conditions
inferredcites →https://doi.org/10.1137/1026121openalex-snapshot
Non-Linear Parametric Optimization (B. Bank, J. Guddat, D. Klatte, B. Kummer and K. Tammer)
inferredcites →https://doi.org/10.1137/s0895479895259766openalex-snapshot
Stability Theory for Linear Inequality Systems
inferredcites →https://doi.org/10.1137/s1052623402415846openalex-snapshot
Constraint Qualification, the Strong CHIP, and Best Approximation with Convex Constraints in Banach Spaces
inferredcites →https://doi.org/10.1137/s1052623403434693openalex-snapshot
On Constraint Qualification for an Infinite System of Convex Inequalities in a Banach Space
inferredcites →https://doi.org/10.1137/s105262349528901xopenalex-snapshot
Stability Theory for Linear Inequality Systems II: Upper Semicontinuity of the Solution Set Mapping
inferredcites →https://doi.org/10.68381/jca13008openalex-snapshot
From Linear to Convex Systems: Consistency, Farkas' Lemma and Applications

What points at this work

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

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Post-Optimal Analysis of Linear Semi-Infinite Programs
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Semi-infinite Programs with Some Convexity
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Marco A. López, a Pioneer of Continuous Optimization in Spain
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Comparative study of RPSALG algorithm for convex semi-infinite programming
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Some Stability Properties of Parametric Quadratically Constrained Nonconvex Quadratic Programs in Hilbert Spaces
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Efficient feasible set characterization through Distance Field Map algorithm and its use in control
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Convergence analysis of the Gauss–Newton method for convex inclusion and convex-composite optimization problems
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Constraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programming
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On coderivatives and Lipschitzian properties of the dual pair in optimization
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Stability of minimal solutions to parametric set optimization problems
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Distance to ill-posedness for linear inequality systems under block perturbations: convex and infinite-dimensional cases
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Variational Analysis in Semi-Infinite and Infinite Programming, I: Stability of Linear Inequality Systems of Feasible Solutions
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Stability and Continuity in Robust Optimization
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Quantitative Stability of Linear Infinite Inequality Systems under Block Perturbations with Applications to Convex Systems
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Stability of the optimal values under small perturbations of the constraint set
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On the Stability of the Optimal Value and the Optimal Set in Optimization Problems
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