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… (More)
Wikipedia

Related topics

Related topics

6 relations
Calculus of variationsIvar EkelandOptimization problemVariational analysis
(More)

Broader (1)

Convex analysis

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Versions of Ekeland's variational principle involving set perturbations
 
Is this relevant?
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… (More)
Is this relevant?
2011
2011
On generalized Ekeland's variational principle and equivalent formulations for set-valued mappings
We propose a very weak type of generalized distance called weak τ -function and use it to weaken the assumptions about lower… (More)
Is this relevant?
2011
2011
Model-Driven Harmonic Parameterization of the Cortical Surface: HIP-HOP
In the context of inter subject brain surface matching, we present a parameterization of the cortical surface constrained by a… (More)
  • figure 1
  • table I
  • figure 2
  • figure 3
  • figure 4
Is this relevant?
2008
2008
Vector Ekeland's variational principle in an F -type topological space
In this paper, we first give a vector-valued version of Brézis and Browder’s scalar general principle. We then apply the vector… (More)
Is this relevant?
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… (More)
Is this relevant?
2007
2007
Variational inclusions problems with applications to Ekeland's variational principle, fixed point and optimization problems
In this paper, we prove the existence theorems of two types of systems of variational inclusions problem. From these existence… (More)
Is this relevant?
Highly Cited
2005
Highly Cited
2005
Image decomposition via the combination of sparse representations and a variational approach
The separation of image content into semantic parts plays a vital role in applications such as compression, enhancement… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2004
2004
A variational principle for nonlinear transport equations
We verify -after appropriate modificationsan old conjecture of Brezis-Ekeland [4] concerning the feasibility of a global and… (More)
Is this relevant?
2001
2001
Equivalents to Ekeland's Variational Principle in F-type Topological Spaces
We shall show that a recent version of Ekeland's principle in F-type topological spaces due to Fang from 1996 is implied by the… (More)
Is this relevant?