Stability analysis for vector quasiequilibrium problems

Stability analysis for vector quasiequilibrium problems This paper is devoted to the continuity of the solution mapping for vector quasiequilibrium problems under mapping perturbations. We show that the solution mapping is upper semicontinuous and Hausdorff upper semicontinuous. Sufficient conditions for the lower semicontinuity and Hausdorff lower semicontinuity of the solution mapping are established. Finally, we apply our results to traffic network problems as example. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Stability analysis for vector quasiequilibrium problems

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Publisher
Springer Basel
Copyright
Copyright © 2012 by Springer Basel AG
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-012-0172-x
Publisher site
See Article on Publisher Site

Abstract

This paper is devoted to the continuity of the solution mapping for vector quasiequilibrium problems under mapping perturbations. We show that the solution mapping is upper semicontinuous and Hausdorff upper semicontinuous. Sufficient conditions for the lower semicontinuity and Hausdorff lower semicontinuity of the solution mapping are established. Finally, we apply our results to traffic network problems as example.

Journal

PositivitySpringer Journals

Published: Mar 17, 2012

References

  • Some existence results for solutions of generalized vector quasi-equilibrium problems
    Lin, L.J.; Ansari, Q.H.; Huang, Y.J.
  • Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks I: upper semicontinuities
    Anh, L.Q.; Khanh, P.Q.
  • Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks II: lower semicontinuities
    Anh, L.Q.; Khanh, P.Q.
  • Stability results for convex vector-valued optimization problems
    Zeng, J.; Li, S.J.; Zhang, W.Y.; Xue, X.W.

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