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kuratowski-painleve convergence (12) 12
mathematics (11) 11
mathematics, applied (10) 10
kuratowski-painlevé convergence (8) 8
operations research & management science (8) 8
stability (7) 7
convergence (6) 6
optimization (6) 6
calculus of variations and optimal control; optimization (5) 5
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fell topology (4) 4
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90c29 (2) 2
analysis (2) 2
computer science (2) 2
consonance (2) 2
efficiency (2) 2
ekeland's variational principle for set-valued mappings (2) 2
kuratowski–painlevé convergence (2) 2
mathematical analysis (2) 2
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mosco convergence (2) 2
perturbation (2) 2
scalarization (2) 2
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upper kuratowski-painleve convergence (2) 2
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26a33 (1) 1
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algebraic configurations in hyperspace (1) 1
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convergence kuratowski-painlevé (1) 1
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convex analysis (1) 1
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cp (1) 1
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dirichlet problem (1) 1
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eigentum (1) 1
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ensemble convexe fermé (1) 1
ensemble fermé (1) 1
epi-convergence (1) 1
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epsilon-variational principle (1) 1
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Taiwanese Journal of Mathematics, ISSN 1027-5487, 10/2016, Volume 20, Issue 5, pp. 1149 - 1173
The aim of this paper is to present new results on the convergence of relative Pareto efficient sets and the lower semicontinuity of relative Pareto efficient point multifunctions under perturbations... 
Efficient point | Mathematical vectors | Mathematical theorems | Banach space | Pareto efficiency | Topological vector spaces | Lower semicontinuity | Relative containment property | Stability | Kuratowski-Painlevé convergence | Relative Pareto efficient | MATHEMATICS | Kuratowski-Painleve convergence | CONTINUITY | MINIMAL POINTS | MULTIFUNCTIONS | VECTOR OPTIMIZATION PROBLEMS | MULTIOBJECTIVE PROBLEMS | OPTIMALITY
Journal Article
Optimization: International Workshop on Nonlinear and Variational Analysis 2018. Guest Editors: Marius Durea, Akhtar A. Khan, Elisabeth Köbis, Nguyen Dong Yen & Jen-Chih Yao, ISSN 0233-1934, 02/2020, Volume 69, Issue 2, pp. 329 - 344
The aim of this paper is to establish the convergence of a non-convex vector optimization problem, which is a quasiconnected vector optimization problem with respect to the perturbation of feasible... 
minimal and efficient point | Kuratowski-Painlevé convergence | quasiconnected function | Non-convex vector optimization | cone-sectionwise connected set | 49K40 | 90C29 | 90C26 | Kuratowski–Painlevé convergence | Kuratowski-Painleve convergence | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | STABILITY | Optimization | Perturbation | Convergence
Journal Article
Journal of optimization theory and applications, ISSN 0022-3239, 2012, Volume 155, Issue 3, pp. 941 - 961
Journal Article
1993, Mathematics and its applications, ISBN 9780792325314, Volume 268, xi, 340
Book
Optimization, ISSN 1029-4945, 2018, Volume 68, Issue 4, pp. 833 - 852
The main aim of this paper is to establish stability in set optimization in terms of convergence of a sequence of solution sets of perturbed set optimization problems to the solution set... 
Hausdorff convergence | convergence | stability | strict quasiconvexity | 90C31 | 49J53 | 90C29 | EXISTENCE | Kuratowski-Painleve convergence | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | VECTOR OPTIMIZATION | LAGRANGIAN-DUALITY | SCALARIZATION | CONVERGENCE | Formulations | Continuity | Stability | Automobile parking | Optimization | Convergence
Journal Article
Journal of Convex Analysis, ISSN 0944-6532, 2001, Volume 8, Issue 1, pp. 279 - 289
Given a sequence [T-n] of nonempty closed sets Kuratowski-Painleve convergent to the empty set in a noncompact metrizable space X, we show not only that there... 
Metric mode of convergence to infinity | Bornology | Kuratowski-painlevé convergence | Uc space | Bounded set | Metric bornology | MATHEMATICS | Kuratowski-Painleve convergence | bornology | bounded set | metric bornology | metric mode of convergence to infinity | UC space
Journal Article
Applied general topology, ISSN 1576-9402, 04/2001, Volume 2, Issue 1, pp. 9 - 25
Journal Article
Journal of Convex Analysis, ISSN 0944-6532, 2010, Volume 17, Issue 3-4, pp. 805 - 826
Journal Article
Canadian mathematical bulletin, ISSN 0008-4395, 09/1994, Volume 37, Issue 3, pp. 294 - 300
... of convergence to force epigraphical convergence with respect to the stronger Hausdorff metric and Vietoris topologies? 
MATHEMATICS | EPI-CONVERGENCE | FELL TOPOLOGY | KURATOWSKI-PAINLEVE CONVERGENCE | HAUSDORFF DISTANCE | LOWER SEMICONTINUOUS FUNCTION | VIETORIS TOPOLOGY
Journal Article
Journal Article
Pacific Journal of Optimization, ISSN 1348-9151, 09/2008, Volume 4, Issue 3, pp. 621 - 628
Convex subdifferential calculus obeys various rules possibly involving approximate subdifferentials. Some of these rules concern nonconvex functions like for... 
Legendre-Fenchel conjugate Kuratowski-Painlevé convergence | Argmin calculus | Subdifferential calculus | Convex analysis | Kuratowski-Painleve convergence | MATHEMATICS, APPLIED | subdifferential calculus | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | convex analysis | argmin calculus | Legendre-Fenchel conjugate
Journal Article
Optimization, ISSN 0233-1934, 01/2002, Volume 51, Issue 1, pp. 31 - 45
In this paper, we define the Mosco convergence and Kuratowski-Painleve (P.K.) convergence for set-valued mapping sequence F n... 
Kuratowski-Painleve convergence | Stability | Mosco convergence | Set-valued mapping | Ekeland's variational principle for set-valued mappings
Journal Article
Topology and its Applications, ISSN 0166-8641, 2000, Volume 104, Issue 1, pp. 27 - 38
Journal Article
Houston Journal of Mathematics, ISSN 0362-1588, 2003, Volume 29, Issue 2, pp. 325 - 335
By Cld(F) (X), we denote the hyperspace of non-empty closed sets of a locally compact metrizable space X with the Fell topology. Let Cont(F) (X) be its... 
The Fell topology | The Hilbert cube | Z-sets | Connected closed sets | Continua | Ends | Kuratowski-Painlevé convergence | Freudenthal compactification | MATHEMATICS | Kuratowski-Painleve convergence | continua | the Hilbert cube | connected closed sets | ends
Journal Article
OPTIMIZATION, ISSN 0233-1934, 02/2002, Volume 51, Issue 1, pp. 31 - 45
In this paper, we define the Mosco convergence and Kuratowski-Painleve (P.K.) convergence for set-valued mapping sequence F-n... 
Kuratowski-Painleve convergence | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Ekeland's variational principle for set-valued mappings | set-valued mapping | Mosco convergence | stability
Journal Article
杭州师范大学学报:自然科学版, ISSN 1674-232X, 2014, Volume 13, Issue 2, pp. 186 - 191
研究了拓扑空间 X上的非空闭子集超空间CL (X)的Kuratowski-Painleve-收敛与τlocfin-收敛的等价性,给出了 CL(X)赋予局部有限拓扑τlocfin的三类弱紧性:ω-有界性,-紧性和-伪紧性,利用空间 X的分解方法得到了(CL(X),τlocfin )满足第一可数公理的等价证明。 
Kuratowski-Painleve-收敛 | ω-有界 | 第一可数性 | 伪紧 | 局部有限拓扑 | 超空间 | 紧性
Journal Article
Optimization, ISSN 0233-1934, 01/1990, Volume 21, Issue 4, pp. 521 - 534
.... Topological and metric results are given. Applications to variational convergence, in particular to epi-convergence of convex functions, are presented. 
epieonvergence | Secondary:52 A 50 | Primary:49 A 50 | Kuratowski-Painlevé limits | Hausdorff metric | convex set-valued maps | Convex set-valued maps | Epiconvergence
Journal Article
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