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Some fixed point theorems for multivalued mappings concerning F-contractions

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Abstract

The aim of this paper is to prove some fixed point theorems for multivalued maps satisfying different inequalities based on Wardowski’s technique in complete metric spaces. Our results extend and generalize several known results in the literature. We also give an application to the existence of fixed points for a class of Lipschitz multivalued mappings with a constant being greater than 1. Examples are also given to illustrate our results.

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Acknowledgements

This work was supported the National Natural Science Foundation of China under Grant no. 11401152. The first author was supported by the China Postdoctoral Science Foundation under Grant no. 2017M6200421.

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Authors and Affiliations

  1. Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, China

    Luong V. Nguyen & Xiaolong Qin

  2. Department of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam

    Luong V. Nguyen, Luu T. Phuong & Nguyen T. Hong

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  1. Luong V. Nguyen
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  2. Luu T. Phuong
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  3. Nguyen T. Hong
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  4. Xiaolong Qin
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Correspondence to Xiaolong Qin.

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Nguyen, L.V., Phuong, L.T., Hong, N.T. et al. Some fixed point theorems for multivalued mappings concerning F-contractions. J. Fixed Point Theory Appl. 20, 139 (2018). https://doi.org/10.1007/s11784-018-0621-7

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  • DOI: https://doi.org/10.1007/s11784-018-0621-7

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