Skip to main content
SpringerLink
Log in

Lower Semicontinuity of the Set of Efficient Solutions for Generalized Systems

  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  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)

    Article  MATH  MathSciNet  Google Scholar 

  2. Cheng, Y.H., Zhu, D.L.: Global stability results for the weak vector variational inequality. J. Glob. Optim. 32, 543–550 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  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)

    Article  MATH  MathSciNet  Google Scholar 

  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)

    Article  MATH  MathSciNet  Google Scholar 

  5. Gong, X.H., Yao, J.C.: Connectedness of the set of efficient solution for generalized systems. J. Optim. Theory Appl. (2008, to appear)

  6. Sawaragi, Y., Nakayama, H., Tanino, T.: Theory of Multiobjective Optimization. Academic Press, San Diego (1985)

    MATH  Google Scholar 

  7. Aubin, J.P., Ekeland, I.: Applied Nonlinear Analysis. Wiley, New York (1984)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, 330047, China

    X. H. Gong

  2. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, 80424, Taiwan

    J. C. Yao

Authors
  1. X. H. Gong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. C. Yao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. C. Yao.

Additional information

Communicated by F. Giannessi.

This research was partially supported by the National Natural Science Foundation of China (10561007), the Natural Science Foundation of Jiangxi Province, China, and a grant from the National Science Council of ROC.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gong, X.H., Yao, J.C. Lower Semicontinuity of the Set of Efficient Solutions for Generalized Systems. J Optim Theory Appl 138, 197–205 (2008). https://doi.org/10.1007/s10957-008-9379-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10957-008-9379-1

Keywords

Search

Navigation