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A note on implicit multifunction theorems

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Abstract

The paper is mainly devoted to the study of implicit multifunction theorems in terms of Fréchet coderivative in Asplund spaces. It sharpens the well-known implicit multifunction theorem of Ledyaev and Zhu (Set Valued Anal., 7, 209–238, 1999) as well as many recent publications about this significant area.

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Acknowledgments

The author would like to express the gratitude to Prof. Boris Mordukhovich for his helpful discussions and encouragements.

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  1. Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA

    T. T. A. Nghia

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  1. T. T. A. Nghia
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Correspondence to T. T. A. Nghia.

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Nghia, T.T.A. A note on implicit multifunction theorems. Optim Lett 8, 329–341 (2014). https://doi.org/10.1007/s11590-012-0580-7

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