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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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