Proper convex function

Known as: Proper concave function, Proper convex 
In mathematical analysis (in particular convex analysis) and optimization, a proper convex function is a convex function f taking values in the… (More)
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Topic mentions per year

Topic mentions per year

1965-2017
024619652017

Papers overview

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2017
2017
Error bounds, which refer to inequalities that bound the distance of vectors in a test set to a given set by a residual function… (More)
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2010
2010
  • R. T. ROCKAFELLARi
  • 2010
A finite-valued convex function on a nonempty convex set C in F can always be extended to a proper convex function on F by… (More)
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2010
2010
We introduce an entropy-like proximal algorithm for the problem of minimizing a closed proper convex function subject to… (More)
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2010
2010
  • Roxin Zhang
  • 2010 Third International Joint Conference on…
  • 2010
For a lower semi continuous and proper convex function $f$ with nonempty minimizer set and a point $x$ in its domain, a marginal… (More)
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2008
2008
In this paper, we present a measure of distance in second-order cone based on a class of continuously differentiable strictly… (More)
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2008
2008
We propose a class of interior proximal-like algorithms for the second-order cone program which is to minimize a closed proper… (More)
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2005
2005
We show that a locally Lipschitz homeomorphism function is semismooth at a given point if and only if its inverse function is… (More)
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2002
2002
We give some sufficient conditions for proper lower semicontinuous functions on metric spaces to have error bounds (with… (More)
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Highly Cited
2000
Highly Cited
2000
We study the asymptotic behavior at infinity of solutions of a second order evolution equation with linear damping and convex… (More)
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Highly Cited
1996
Highly Cited
1996
Using convex analysis, this paper gives a systematic and uniied treatment for the existence of a global error bound for a convex… (More)
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