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New results on system of generalized quasi-Ky Fan inequalities with set-valued mappings in topological semilattice spaces

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Abstract

Under new assumptions, this paper obtains some extended versions of Ky Fan type inequality for a family of C-continuous set-valued mappings in the setting of topological semilattices. The obtained results are new and different from the corresponding known results in the literature. Some special cases of the main result are also discussed. Some examples are given to illustrate the results.

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Acknowledgments

The authors would like to thank Professor Nguyen Xuan Tan for drawing our attention to the subject and for many useful discussions.

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Authors and Affiliations

  1. Department of Mathematics, University of Transport and Communications, 3 Cau Giay Street, Hanoi, Vietnam

    The Vinh Nguyen

  2. School of Applied Mathematics and Informatics, University of Science and Technology, 1 Dai Co Viet Street, Hanoi, Vietnam

    Thi Hoai Pham

Authors
  1. The Vinh Nguyen
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  2. Thi Hoai Pham
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Corresponding author

Correspondence to The Vinh Nguyen.

Additional information

This research was partially supported by NAFOSTED under Grant No. 101.01-2014.17 and by UTC under Grant No. T2017-KHCB-60.

This paper was recommended for publication by Editor WANG Shouyang.

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Nguyen, T.V., Pham, T.H. New results on system of generalized quasi-Ky Fan inequalities with set-valued mappings in topological semilattice spaces. J Syst Sci Complex 29, 1585–1595 (2016). https://doi.org/10.1007/s11424-016-4284-4

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