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Vector Ekeland’s variational principle in an F-type topological space

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  • Guang-Ya Chen
  • X. Yang
  • Hui Yu

Abstract

In this paper, we first give a vector-valued version of Brézis and Browder’s scalar general principle. We then apply the vector-valued general principle to study a vector Ekeland’s variational principle in a F-type topological space, which unifies and improves the corresponding vector-valued Ekeland’s variational results in complete metric space. Copyright Springer-Verlag 2008

Suggested Citation

  • Guang-Ya Chen & X. Yang & Hui Yu, 2008. "Vector Ekeland’s variational principle in an F-type topological space," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 67(3), pages 471-478, June.
    • Handle: RePEc:spr:mathme:v:67:y:2008:i:3:p:471-478
    DOI: 10.1007/s00186-007-0205-6
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    References listed on IDEAS

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    1. J. Zhu & S. J. Li, 2007. "Generalization of Ordering Principles and Applications," Journal of Optimization Theory and Applications, Springer, vol. 132(3), pages 493-507, March.
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    Cited by:

    1. Majid Fakhar & Mohammadreza Khodakhah & Ali Mazyaki & Antoine Soubeyran & Jafar Zafarani, 2022. "Variational rationality, variational principles and the existence of traps in a changing environment," Journal of Global Optimization, Springer, vol. 82(1), pages 161-177, January.
    2. Le Phuoc Hai & Phan Quoc Khanh & Antoine Soubeyran, 2022. "General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics," Journal of Optimization Theory and Applications, Springer, vol. 195(1), pages 347-373, October.

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