Common fixed point on the $b_v(s)$-metric space of function-valued mappings

Tayebe Lal Shateri; Ozgur Ege; Manuel de la Sen; Tayebe Lal Shateri; Ozgur Ege; Manuel de la Sen

doi:10.3934/math.2021063

AIMS Mathematics

2021, Volume 6, Issue 2: 1065-1074. doi: 10.3934/math.2021063

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Research article

Common fixed point on the $b_v(s)$-metric space of function-valued mappings

1.
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P. O. Box 397, Iran
2.
Department of Mathematics, Faculty of Science, Ege University, Bornova, 35100, Izmir, Turkey
3.
Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain

Received: 22 July 2020 Accepted: 04 November 2020 Published: 09 November 2020
MSC : 47H10, 54H25

In this paper, some common fixed point results are obtained in $b_v(s)$-metric spaces. $b_v(s)$-metric space generalizes not only $b$-metric space but also rectangular metric space, $v$-generalized metric space and rectangular $b$-metric space. Examples show how these results can be applied in concrete situations.
- fixed point,
- $b$-metric space,
- rectangular $b$-metric space,
- $b_v(s)$-metric space,
- contraction
Citation: Tayebe Lal Shateri, Ozgur Ege, Manuel de la Sen. Common fixed point on the $b_v(s)$-metric space of function-valued mappings[J]. AIMS Mathematics, 2021, 6(2): 1065-1074. doi: 10.3934/math.2021063

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Abstract

In this paper, some common fixed point results are obtained in $b_v(s)$-metric spaces. $b_v(s)$-metric space generalizes not only $b$-metric space but also rectangular metric space, $v$-generalized metric space and rectangular $b$-metric space. Examples show how these results can be applied in concrete situations.

References

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