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P. Oppezzi, A. Rossi (2008)
A convergence for vector valued functionsOptimization, 57
C. Gutiérrez, B. Jiménez, V. Novo (2006)
On Approximate Solutions in Vector Optimization Problems Via ScalarizationComputational Optimization and Applications, 35
D. Bertsekas, A. Nedić, A. Ozdaglar (2003)
Convex Analysis and Optimization
Guang-Ya Chen, X. Huang (1998)
Stability results for Ekeland's ε variational principle for vector valued functionsMathematical Methods of Operations Research, 48
T. Tanino, H. Kuk (2003)
Nonlinear Multiobjective Programming
T. Tanino (1988)
Stability and sensitivity analysis in convex vector optimizationSIAM J. Contin. Optim., 26
H. Attouch, H. Riahi (1993)
Stability results for Ekeland’s $${\varepsilon}$$ -variational principle and cone extremal solutionMath. Oper. Res., 18
C. Tammer, A. Göpfert (2003)
Theory of Vector Optimization
H. Attouch (1984)
Variational convergence for functions and operators
S.S. Kutateladze (1979)
Convex $${\varepsilon}$$ -programmingSov. Math. Dokl., 20
M. Durea (2007)
On the existence and stability of approximate solutions of perturbed vector equilibrium problemsJournal of Mathematical Analysis and Applications, 333
H. Attouch, H. Riahi (1993)
Stability Results for Ekeland's ε-Variational Principle and Cone Extremal SolutionsMath. Oper. Res., 18
H. Kuk, T. Tanino, Masahiro Tanaka (1988)
Stability and Sensitivity Analysis in Convex Vector OptimizationMemoirs of the Faculty of the Engineering, Okayama University, 30
X. Huang (2000)
Stability in vector-valued and set-valued optimizationMathematical Methods of Operations Research, 52
Y. Sawaragi, T. Tanino, H. Nakayama (1985)
Theory of Multiobjective Optimization
Shengjie Li, Wen-yan Zhang (2010)
Hadamard well-posed vector optimization problemsJournal of Global Optimization, 46
Roberto Lucchetti, Enrico Miglierina (2004)
Stability for convex vector optimization problemsOptimization, 53
A. Dontchev, T. Zolezzi (1993)
Well-Posed Optimization Problems
R.T. Rockafellar, R.J-B. Wets (1998)
Variational Analysis
M. Zeleny (1974)
Linear Multiobjective Programming
In this paper, we discuss the stability of the sets of efficient points of vector-valued optimization problems when the data of the approximate problems converges to the data of the original problem in the sense of Painlevé–Kuratowski. Our results improve the corresponding results obtained by Lucchetti and Miglierina (Optimization 53(5–6):517–528, 2004, Section 3).
Positivity – Springer Journals
Published: Oct 21, 2010
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