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A unified approach to the existing three types of variational principles for vector valued functions

Author

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  • G. Y. Chen
  • X. X. Huang

Abstract

This paper att empts to give a unified approach to the existing three types of variational principles for vector valued functions: A. B. Nemeth (1986), Chr. Tammer (1992) and G. Isac (1996). Some of the results we obtain are variants of the authors' mentioned above. Some are even stronger than theirs. Copyright Springer-Verlag Berlin Heidelberg 1998

Suggested Citation

  • G. Y. Chen & X. X. Huang, 1998. "A unified approach to the existing three types of variational principles for vector valued functions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(3), pages 349-357, December.
    • Handle: RePEc:spr:mathme:v:48:y:1998:i:3:p:349-357
    DOI: 10.1007/s001860050032
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    Cited by:

    1. G. Y. Chen & X. X. Huang & S. H. Hou, 2000. "General Ekeland's Variational Principle for Set-Valued Mappings," Journal of Optimization Theory and Applications, Springer, vol. 106(1), pages 151-164, July.
    2. X. X. Huang, 2000. "Extended Well-Posedness Properties of Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 106(1), pages 165-182, July.
    3. X. X. Huang, 2001. "Pointwise Well-Posedness of Perturbed Vector Optimization Problems in a Vector-Valued Variational Principle," Journal of Optimization Theory and Applications, Springer, vol. 108(3), pages 671-684, March.

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