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)
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2011
2011
We establish several set-valued function versions of Ekeland’s variational principle and hence provide some sufficient conditions… (More)
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2011
2011
We propose a very weak type of generalized distance called weak τ -function and use it to weaken the assumptions about lower… (More)
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2011
2011
In the context of inter subject brain surface matching, we present a parameterization of the cortical surface constrained by a… (More)
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2008
2008
In this paper, we first give a vector-valued version of Brézis and Browder’s scalar general principle. We then apply the vector… (More)
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2008
2008
This paper deals with Ekeland’s variational principle for vector optimization problems. By using a set-valued metric, a set… (More)
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2007
2007
In this paper, we prove the existence theorems of two types of systems of variational inclusions problem. From these existence… (More)
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Highly Cited
2005
Highly Cited
2005
The separation of image content into semantic parts plays a vital role in applications such as compression, enhancement… (More)
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2004
2004
We verify -after appropriate modificationsan old conjecture of Brezis-Ekeland [4] concerning the feasibility of a global and… (More)
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2001
2001
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)
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