Journal of Optimization Theory and Applications

, Volume 138, Issue 2, pp 197–205 | Cite as

Lower Semicontinuity of the Set of Efficient Solutions for Generalized Systems

Article

Abstract

We discuss the lower semicontinuity of the set of efficient solutions for parametric generalized systems with monotone bifunctions in real locally convex Hausdorff topological vector spaces.

Keywords

Generalized systems Efficient solutions Lower semicontinuity 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Li, S.J., Chen, G.Y., Teo, K.L.: On the stability of generalized vector quasivariational inequality problems. J. Optim. Theory Appl. 113, 283–295 (2002) MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Cheng, Y.H., Zhu, D.L.: Global stability results for the weak vector variational inequality. J. Glob. Optim. 32, 543–550 (2005) MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Khanh, P.Q., Luu, L.M.: Upper semicontinuity of the solution set to parametric vector quasivariational inequalities. J. Glob. Optim. 32, 569–580 (2005) MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Anh, L.Q., Khanh, P.Q.: On the Hölder continuity of solution to parametric multivalued vector equilibrium problems. J. Math. Anal. Appl. 321, 308–315 (2006) MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Gong, X.H., Yao, J.C.: Connectedness of the set of efficient solution for generalized systems. J. Optim. Theory Appl. (2008, to appear) Google Scholar
  6. 6.
    Sawaragi, Y., Nakayama, H., Tanino, T.: Theory of Multiobjective Optimization. Academic Press, San Diego (1985) MATHGoogle Scholar
  7. 7.
    Aubin, J.P., Ekeland, I.: Applied Nonlinear Analysis. Wiley, New York (1984) MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of MathematicsNanchang UniversityNanchangChina
  2. 2.Department of Applied MathematicsNational Sun Yat-Sen UniversityKaohsiungTaiwan

Personalised recommendations