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Generalized vector quasi-equilibrium problems on Hadamard manifolds

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An Erratum to this article was published on 10 January 2014

Abstract

In this paper, a generalized vector quasi-equilibrium problem (GVQEP) is introduced and studied on Hadamard manifolds. An existence theorem of solutions for the GVQEP is established under some suitable conditions. Some applications to a generalized vector quasi-variational inequality, a generalized vector variational-like inequality and a vector optimization problem are also presented on Hadamard manifolds.

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Acknowledgments

The authors are grateful to the editor and the referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, People’s Republic of China

    Xia-bo Li & Nan-jing Huang

Authors
  1. Xia-bo Li
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  2. Nan-jing Huang
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Correspondence to Nan-jing Huang.

Additional information

This work was supported by the Key Program of NSFC (Grant No. 70831005) and the National Natural Science Foundation of China (11171237).

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Li, Xb., Huang, Nj. Generalized vector quasi-equilibrium problems on Hadamard manifolds. Optim Lett 9, 155–170 (2015). https://doi.org/10.1007/s11590-013-0703-9

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