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

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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.

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Authors and Affiliations

  1. Institute of Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Guang-Ya Chen

  2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China

    X. Q. Yang

  3. School of Economics Business and Administration, Chongqing University, Chongqing, 400030, China

    Hui Yu

Authors
  1. Guang-Ya Chen
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  2. X. Q. Yang
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  3. Hui Yu
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Corresponding author

Correspondence to Hui Yu.

Additional information

This project was partially supported by the Research Grants Council of Hong Kong (BG771) and National Natural Science Foundation of China (70501015, 70401006).

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Chen, GY., Yang, X.Q. & Yu, H. Vector Ekeland’s variational principle in an F-type topological space. Math Meth Oper Res 67, 471–478 (2008). https://doi.org/10.1007/s00186-007-0205-6

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  • DOI: https://doi.org/10.1007/s00186-007-0205-6

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