Results 41 to 50 of about 462 (83)
A characterization of epi-convergence in terms of convergence of level sets
, 1992 Let LSC ( X ) \operatorname {LSC} (X) denote the extended real-valued lower semicontinuous functions on a separable metrizable space X X . We show that a sequence ⟨
Gerald Beer +2 more
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Some new results on stability of Ekeland's ϵ-variational principle
, 2008 In this paper, we give an example and point out that ϵ-solutions of Ekeland's variational principle are not always lower semicontinuous in infinite-dimensional Banach spaces, even with respect to the uniform metric.
Wang, Changchun +2 more
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Convergence of the solution sets for set optimization problems
In this paper, we present the stability analysis of solution sets for set optimization problems with respect to the set order relation defined by means of Minkowski difference.
Ansari, Qamrul Hasan +2 more
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C.: On convergence of closed convex sets
, 2008 In this paper we introduce a convergence concept for closed convex subsets of a finite dimensional normed vector space. This convergence is called C-convergence. It is defined by appropriate notions of upper and lower limits.
Constantin Zălinescu, Andreas Löhne
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Epi Convergence Of Double Function Sequences
, 2022 In this paper, we introduce and study the concept of epi convergence for double function sequences and establish the equivalence between epi convergence of a sequence of functions and the Kuratowski convergence of their ...
Nuray, Fatih
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Variational convergence of discrete minimal surfaces
, 2018 Building on and extending tools from variational analysis, we prove Kuratowski convergence of sets of simplicial area minimizers to minimizers of the smooth Douglas-Plateau problem under simplicial refinement.
Wardetzky, Max +3 more
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Solutions of Painlevé II on real intervals: novel approximating sequences
, 2019 Novel sequences of approximants to solutions of Painlevé II on finite intervals of the real line, with Neumann boundary conditions, are constructed. Numerical experiments strongly suggest convergence of these sequences in a surprisingly wide range of ...
Bracken, Anthony J.
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Set-convergence of convex sets and stability in vector optimization [PDF]
This work establishes the lower convergence (in the sense of Kuratowski - Painlevé) of the set of minimal points of An to the set of minimal points of A, whenever An is a sequence of convex subsets of an euclidean space satisfying the dominance property ...
Miglierina Enrico
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On some metrics compatible with the Fell–Matheron topology
, 2007 Modifying the Hausdorff–Buseman metric, we obtain a compatible metric with the Fell–Matheron topology on the space of closed subsets of a locally compact Hausdorff second countable space.
Ogura, Yukio
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On Kuratowski I-Convergence of Sequences of Closed Sets
In this paper we extend the concepts of statistical inner and outer limits (as introduced by Talo, Sever and Bas, ar) to I-inner and I-outer limits and give some I-analogue of properties of statistical inner and outer limits for sequences of closed sets ...
Sever, Y, Talo, Ö
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