A note on semicontinuity to a parametric generalized Ky Fan inequality

Chunrong Chen; Zhimiao Fang

doi:10.3934/naco.2012.2.779

Article Contents

2012, Volume 2, Issue 4: 779-784. Doi: 10.3934/naco.2012.2.779

This issue Previous Article A survey on probabilistically constrained optimization problems Next Article A multigrid method for the maximal correlation problem

A note on semicontinuity to a parametric generalized Ky Fan inequality

Chunrong Chen^1, and
Zhimiao Fang^2,

1.
College of Mathematics and Statistics, Chongqing University, Chongqing, 401331
2.
Chongqing Police College, Chongqing 401331

Received: September 2011

Revised: May 2012

Published: November 2012

Abstract / Introduction Related Papers Cited by

Abstract

In this note, the continuity results of weak vector solutions and global vector solutions to a parametric generalized Ky Fan inequality are established by using a new scalarization method. Our results improve the corresponding ones of Li and Fang (J. Optim. Theory Appl. 147: 507-515, 2010).

Keywords:

Upper semicontinuity,
continuity,
parametric generalized Ky Fan inequality,
scalarization.

Mathematics Subject Classification: Primary: 49K40; Secondary: 47J20.

Citation:

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References

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