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P. Oppezzi, A. Rossi (2008)
A convergence for vector valued functionsOptimization, 57
R. Holmes (1975)
Geometric Functional Analysis and Its Applications
P. Oppezzi, A. Rossi (2008)
A convergence for infinite dimensional vector valued functionsJournal of Global Optimization, 42
Herrero, Subiza (1999)
Set-Valued Utilities for Strict Partial Orders.Journal of mathematical psychology, 43 3
D. Garling (1977)
GEOMETRIC FUNCTIONAL ANALYSIS AND ITS APPLICATIONBulletin of The London Mathematical Society, 9
Klaudia Beich (2016)
Theory Of Vector Optimization
B. Lemaire (1992)
Approximation in multiobjective optimizationJournal of Global Optimization, 2
J. Borwein, D. Zhuang (1993)
Super efficiency in vector optimizationTransactions of the American Mathematical Society, 338
(2006)
A handbook of -convergence
Z. Denkowski, S. Migórski, N. Papageorgiou (2021)
Set-Valued Analysis
(1992)
Partially finite convex programming. I. Quasi Relative Inter
M Durea, J Dutta, C Tammer (2010)
Lagrange multipliers for $$\epsilon $$ ϵ -Pareto solutions in vector optimization with nonsolid cones in Banach spacesJ. Optim. Theory Appl., 145
J. Zeng, Shengjie Li, W. Zhang, X. Xue (2011)
Stability results for convex vector-valued optimization problemsPositivity, 15
J. Jahn (2009)
Set-valued Optimization
Roberto Lucchetti, Enrico Miglierina (2004)
Stability for convex vector optimization problemsOptimization, 53
D. White (1984)
Multiobjective programming and penalty functionsJournal of Optimization Theory and Applications, 43
Akhtar Khan, C. Tammer, C. Zălinescu (2014)
Set-valued Optimization - An Introduction with Applications
M. Durea, J. Dutta, C. Tammer (2010)
Lagrange Multipliers for ε-Pareto Solutions in Vector Optimization with Nonsolid Cones in Banach SpacesJournal of Optimization Theory and Applications, 145
J. Nieuwenhuis (1976)
Separating sets with relative interior in Fréchet spacesApplied Mathematics and Optimization, 3
T. Bao, B. Mordukhovich (2010)
Set-valued optimization in welfare economics
P Loridan (1984)
$$\epsilon $$ ϵ -solutions in vector minimization problemsJ. Optim. Theory Appl., 43
F. Giannessi (2006)
Variational Analysis and Generalized DifferentiationJournal of Optimization Theory and Applications, 131
T. Bao, B. Mordukhovich (2009)
Necessary conditions for super minimizers in constrained multiobjective optimizationJournal of Global Optimization, 43
R. López (2013)
Variational convergence for vector-valued functions and its applications to convex multiobjective optimizationMathematical Methods of Operations Research, 78
Y. Sonntag, C. Zălinescu (1993)
SET CONVERGENCES. AN ATTEMPT OF CLASSIFICATIONTransactions of the American Mathematical Society, 340
(1975)
Su un tipo di convergenza variazionale
D. White (1986)
Epsilon efficiencyJournal of Optimization Theory and Applications, 49
J. Jahn (2004)
Vector optimization - theory, applications, and extensions
P. Loridan (1984)
ε-solutions in vector minimization problemsJournal of Optimization Theory and Applications, 43
(2011)
Set-valued riskmeasures for conicalmarketmodels.Math
J. Borwein, R. Goebel (2003)
Notions of Relative Interior in Banach SpacesJournal of Mathematical Sciences, 115
G. Beer (1993)
Topologies on Closed and Closed Convex Sets
Yu. Mashunin (2017)
Vector Optimization
A. Guerraggio, E. Molho, A. Zaffaroni (1994)
On the notion of proper efficiency in vector optimizationJournal of Optimization Theory and Applications, 82
T. Bao, B. Mordukhovich (2009)
Relative Pareto minimizers for multiobjective problems: existence and optimality conditionsMathematical Programming, 122
Bastian Goldlücke (2014)
Variational Analysis
A. Unwin (1980)
Approaches to the Theory of OptimizationJournal of the Operational Research Society, 32
We study the asymptotic behavior of sequences of minimization problems in set optimization. More precisely, considering a sequence of set optimization problems $$(P_n)$$ ( P n ) converging in some sense to a set optimization problem (P) we investigate the upper and lower convergences of the sets of minimizers of the problems $$(P_n)$$ ( P n ) to the set of minimizers of the problem (P).
Positivity – Springer Journals
Published: Mar 30, 2016
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