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A generalized vector-valued variational principle in Fréchet spaces

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Abstract

In the framework of Fréchet spaces, we give a generalized vector-valued Ekeland’s variational principle, where the perturbation involves the subadditive functions of countable generating semi-norms. By modifying and developing the method of Cammaroto and Chinni, we obtain a density theorem on extremal points of the vector-valued variational principle, which extends and improves the related known results.

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Authors and Affiliations

  1. Department of Mathematics, Suzhou University, Suzhou, 215006, P. R. China

    Jing Hui Qiu & Xin Qing Yang

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  1. Jing Hui Qiu
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  2. Xin Qing Yang
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Correspondence to Jing Hui Qiu.

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Supported by National Natural Science Foundation of China (Grant No. 10871141)

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Qiu, J.H., Yang, X.Q. A generalized vector-valued variational principle in Fréchet spaces. Acta. Math. Sin.-English Ser. 26, 2145–2156 (2010). https://doi.org/10.1007/s10114-010-8524-6

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  • DOI: https://doi.org/10.1007/s10114-010-8524-6

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