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Ekeland's ε-variational principle for set-valued mappings

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Abstract.

In this paper, we introduce the concept of approximate solutions for set-valued mappings and provide a sufficient condition for the existence of approximate solutions of set-valued mappings. We obtain an approximate variational principle for set-valued mappings.

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Authors and Affiliations

  1. Institute of Systems Science, Academia Sinica, Beijing 100080, China, , , , , , CN

    Guang Ya Chen & X. X. Huang

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  1. Guang Ya Chen
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  2. X. X. Huang
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Revised version received November 1997

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Chen, G., Huang, X. Ekeland's ε-variational principle for set-valued mappings. Mathematical Methods of OR 48, 181–186 (1998). https://doi.org/10.1007/s001860050020

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  • DOI: https://doi.org/10.1007/s001860050020

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