In mathematical analysis (in particular convex analysis) and optimization, a proper convex function is a convex function f taking values in theâ€¦Â (More)

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2017

2017

- Zirui Zhou, Anthony Man-Cho So
- Math. Program.
- 2017

Error bounds, which refer to inequalities that bound the distance of vectors in a test set to a given set by a residual functionâ€¦Â (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 byâ€¦Â (More)

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2010

2010

- Jein-Shan Chen, Shaohua Pan
- Comp. Opt. and Appl.
- 2010

We introduce an entropy-like proximal algorithm for the problem of minimizing a closed proper convex function subject toâ€¦Â (More)

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2010

2010

- Roxin Zhang
- 2010 Third International Joint Conference onâ€¦
- 2010

For a lower semi continuous and proper convex function $f$ with nonempty minimizer set and a point $x$ in its domain, a marginalâ€¦Â (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 strictlyâ€¦Â (More)

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2008

2008

- Shaohua Pan, Jein-Shan Chen
- SIAM Journal on Optimization
- 2008

We propose a class of interior proximal-like algorithms for the second-order cone program which is to minimize a closed properâ€¦Â (More)

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2005

2005

- Fanwen Meng, Defeng Sun, Gongyun Zhao
- Math. Program.
- 2005

We show that a locally Lipschitz homeomorphism function is semismooth at a given point if and only if its inverse function isâ€¦Â (More)

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2002

2002

- Zili Wu, Jane J. Ye
- Math. Program.
- 2002

We give some sufficient conditions for proper lower semicontinuous functions on metric spaces to have error bounds (withâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

- Felipe Alvarez
- SIAM J. Control and Optimization
- 2000

We study the asymptotic behavior at infinity of solutions of a second order evolution equation with linear damping and convexâ€¦Â (More)

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Highly Cited

1996

Highly Cited

1996

- Adrian S. Lewis, Jong-Shi Pangy
- 1996

Using convex analysis, this paper gives a systematic and uniied treatment for the existence of a global error bound for a convexâ€¦Â (More)

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