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Ekeland's variational principle

In mathematical analysis, Ekeland's variational principle, discovered by Ivar Ekeland, is a theorem that asserts that there exists nearly optimal… Expand
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Related topics

Related topics

6 relations
Calculus of variationsIvar EkelandOptimization problemVariational analysis
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Broader (1)

Convex analysis

Papers overview

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Highly Cited
2016
Highly Cited
2016
Strong Data Processing Inequalities and $\Phi $ -Sobolev Inequalities for Discrete Channels
  • M. Raginsky
  • IEEE Transactions on Information Theory
  • 2016
    • Corpus ID: 14185667
The noisiness of a channel can be measured by comparing suitable functionals of the input and output distributions. For instance… Expand
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2011
2011
Ekeland's Variational Principle for Set-Valued Functions
We establish several set-valued function versions of Ekeland's variational principle and hence provide some sufficient conditions… Expand
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2010
2010
On Ekeland’s variational principle
For proper lower semicontinuous functionals bounded from below which do not increase upon polarization, an improved version of… Expand
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Highly Cited
2009
Highly Cited
2009
Scalable Variational Integrators for Constrained Mechanical Systems in Generalized Coordinates
We present a technique to implement scalable variational integrators for generic mechanical systems in generalized coordinates… Expand
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2008
2008
A Set-Valued Ekeland's Variational Principle in Vector Optimization
This paper deals with Ekeland's variational principle for vector optimization problems. By using a set-valued metric, a set… Expand
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Highly Cited
2007
Highly Cited
2007
Nonlocal Linear Image Regularization and Supervised Segmentation
A nonlocal quadratic functional of weighted differences is examined. The weights are based on image features and represent the… Expand
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Highly Cited
2005
Highly Cited
2005
Level set evolution without re-initialization: a new variational formulation
In this paper, we present a new variational formulation for geometric active contours that forces the level set function to be… Expand
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2001
2001
Parametric Ekeland's variational principle
A parametrized version of Ekeland's variational principle is proved, showing that under suitable conditions, the minimum point of… Expand
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1996
1996
Coincidence theorems for set-valued mappings and Ekeland's variational principle in fuzzy metric spaces
Abstract In this paper, we establish a coincidence theorem for set-valued mappings in fuzzy metric spaces with a view to… Expand
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Highly Cited
1987
Highly Cited
1987
A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions
We show that, typically, lower semicontinuous functions on a Banach space densely inherit lower subderivatives of the same degree… Expand
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