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This paper proposes a proximal neurodynamic model (PNDM) for solving inverse mixed variational inequalities (IMVIs) based on the proximal operator. It is shown that the PNDM has a unique continuous solution under the condition of Lipschitz continuity (L-continuity). It is also shown that the equilibrium point of the proposed PNDM is asymptotically stable or exponentially stable under some mild conditions. Finally, three numerical examples are presented to illustrate effectiveness of the proposed PNDM. Copyright © 2021 Elsevier Ltd. All rights reserved.

Citation

Xingxing Ju, Chuandong Li, Xing He, Gang Feng. A proximal neurodynamic model for solving inverse mixed variational inequalities. Neural networks : the official journal of the International Neural Network Society. 2021 Jun;138:1-9

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PMID: 33610091

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