A new type of Kannan's fixed point theorem in strong $ b $- metric spaces

Hieu Doan; Hieu Doan

doi:10.3934/math.2021458

AIMS Mathematics

2021, Volume 6, Issue 7: 7895-7908. doi: 10.3934/math.2021458

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Research article

A new type of Kannan's fixed point theorem in strong $ b $- metric spaces

Hieu Doan ^,

Faculty of Basic Sciences, Quang Ninh University of Industry, Yen Tho, Dong Trieu, Quang Ninh, Viet Nam

Received: 20 March 2021 Accepted: 12 May 2021 Published: 18 May 2021
MSC : 47H10, 54H25

In this paper, we prove some generalizations of Kannan-type fixed point theorems for singlevalued and multivalued mappings defined on a complete strong b- metric space in terms of a Suzuki-type contraction. Our results extend a result of Górnicki ^[10]. Furthermore, after each theorem are exemples and corollaries respectively.
- fixed point,
- complete strong $ b $- metric space,
- strong $ b $- metric spaces,
- Kannan mapping,
- Kannan type mapping
Citation: Hieu Doan. A new type of Kannan's fixed point theorem in strong $ b $- metric spaces[J]. AIMS Mathematics, 2021, 6(7): 7895-7908. doi: 10.3934/math.2021458

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Abstract

In this paper, we prove some generalizations of Kannan-type fixed point theorems for singlevalued and multivalued mappings defined on a complete strong b- metric space in terms of a Suzuki-type contraction. Our results extend a result of Górnicki ^[10]. Furthermore, after each theorem are exemples and corollaries respectively.

References

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