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Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications

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Abstract

The present paper is devoted to building degree theory for a generalized mixed quasi-variational inequality in finite dimensional spaces. Then, by employing the obtained results, we prove the existence and stability of solutions to the considered generalized mixed quasi-variational inequality.

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Acknowledgements

The important part of the paper was done when the first author was a visitor at Department of Statistics & Applied Probability, National University of Singapore. The first author is profoundly grateful to professor Yu Tao, for his help and encouragement. The authors are indebted to the anonymous Editor and referees for their valuable comments and suggestions which helped us very much in improving the original version of this paper. This work was supported by the National Natural Science Foundation of China (11701479, 11771067, 11701478), the Chinese Postdoctoral Science Foundation (2018M643434), the Applied Basic Project of Sichuan Province (2019YJ0204) and the Fundamental Research Funds for the Central Universities (ZYGX2019J095).

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Authors and Affiliations

  1. Department of Mathematics, Southwest Jiaotong University, Chengdu, 611756, Sichuan, People’s Republic of China

    Zhong-bao Wang & Zhang-you Chen

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People’s Republic of China

    Zhong-bao Wang & Yi-bin Xiao

Authors
  1. Zhong-bao Wang
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  2. Yi-bin Xiao
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  3. Zhang-you Chen
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Correspondence to Zhong-bao Wang.

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Communicated by Jen-Chih Yao.

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Wang, Zb., Xiao, Yb. & Chen, Zy. Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications. J Optim Theory Appl 187, 43–64 (2020). https://doi.org/10.1007/s10957-020-01748-0

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