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Well-Posedness of the Split Inverse Variational Inequality Problem

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Abstract

The aim of this paper is to study the well-posedness of the split inverse variational inequality problem. We extend the notion of well-posedness to the split inverse variational inequality problem and establish Furi–Vignoli-type characterizations for the well-posedness. We prove that the well-posedness of the split inverse variational inequality problem is equivalent to the existence and uniqueness of its solution.

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Acknowledgments

This work was partially supported by the National Science Foundation of China (11201042 and 11471230) and the Scientific Research Foundation of CUIT (J201216). The authors would like to thank the anonymous referees for their helpful comments and suggestions which have led to the improvement of the early version of this paper.

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Authors and Affiliations

  1. Department of Applied Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan, China

    Rong Hu

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

    Ya Ping Fang

Authors
  1. Rong Hu
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  2. Ya Ping Fang
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Correspondence to Ya Ping Fang.

Additional information

Communicated by Rosihan M. Ali.

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Hu, R., Fang, Y.P. Well-Posedness of the Split Inverse Variational Inequality Problem. Bull. Malays. Math. Sci. Soc. 40, 1733–1744 (2017). https://doi.org/10.1007/s40840-015-0213-2

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  • DOI: https://doi.org/10.1007/s40840-015-0213-2

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