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A class of differential fuzzy variational inequalities in finite-dimensional spaces

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Abstract

In this paper, a new class of differential fuzzy variational inequalities in finite dimensional spaces are introduced and studied. An existence theorem of the Carathéodory weak solution of differential fuzzy variational inequality is established under some suitable conditions. The convergence analysis for time-stepping method for finding the weak solution of the differential fuzzy variational inequality is given. Finally, an example is reported to verify the validity of the proposed algorithm.

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Acknowledgments

The authors would like to thank Professor Pavlo A. Krokhmal and the three anonymous referees for their patience and valuable comments and suggestions. They have made some useful suggestions to strengthen some results of the paper and improve the quality of the paper. We are deeply indebted to them for their encouragement.

Author information

Authors and Affiliations

  1. School of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China

    Xing Wang & Ya-wei Qi

  2. School of Statistics, Jiangxi University of Finance and Economics, Nanchang, China

    Chang-qi Tao

  3. Department of Mathematics, Sichuan University, Chengdu, China

    Nan-jing Huang

Authors
  1. Xing Wang
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  2. Ya-wei Qi
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  3. Chang-qi Tao
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  4. Nan-jing Huang
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Corresponding author

Correspondence to Xing Wang.

Additional information

This work was supported by the National Natural Science Foundation of China (11501263, 71463023, 51369008, 71363019), China Postdoctoral Science Foundation (2014M551854, 2015M570195), MOE Project of Humanities and Social Sciences (14YJCZH114), the Natural Science Foundation of Jiangxi Province, China (20142BAB211019), the Humanities and Social Sciences Project of Jiangxi Province, China (2015YJ302), the key project of Youth Science Fund of Jiangxi China (20131542040017).

Appendix: The code for numerical example

Appendix: The code for numerical example

The algorithm for carbon-dioxide concentration C of DFVI (1.2) was coded as follows:

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Wang, X., Qi, Yw., Tao, Cq. et al. A class of differential fuzzy variational inequalities in finite-dimensional spaces. Optim Lett 11, 1593–1607 (2017). https://doi.org/10.1007/s11590-016-1066-9

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  • DOI: https://doi.org/10.1007/s11590-016-1066-9

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